At a circus, a human cannonball is shot from a cannon at 15m/s at an angle of 40° above horizontal. She
leaves the cannon 2m off the ground and lands in a net 1m off the ground. What height does she reach?
How much ground distance does she cover?

Answers

Answer 1

Answer:

a

The height is   [tex]H  = 6.74 \  m [/tex]

b

The horizontal distance is  [tex]D  = 23.74 \  m [/tex]

Explanation:

From the question we are told that

  The speed is  [tex]v  =  15 \  m/s[/tex]

  The angle is  [tex]\theta  =  40^o[/tex]

   The height of the cannon from the ground is  h  =  2 m

  The distance of the net from the ground is k  =  1 m

 

Generally the maximum height she reaches is mathematically represented as  

     [tex]H  =  \frac{v^2 sin^2 \theta }{2 *  g }  +  h[/tex]

=>    [tex]H  =  \frac{(15)^2 [sin (40)]^2 }{2 * 9.8}  +  2[/tex]

=>    [tex]H  = 6.74 \  m [/tex]

Generally from kinematic equation  

    [tex]s = ut + \frac{1}{2} at^2[/tex]

Here s is the displacement which is mathematically represented as

         s  =  [-(h-k)]  

    =>  s =  -(2-1)

    =>  s  = -1 m

There reason why s =  -1 m is because upward motion canceled the downward motion remaining only the distance of the net from the ground which was covered during the first half but not covered during the second half

     a =  -g = -9.8

    [tex]u  =  v sin (\theta)[/tex]

So

    [tex]-1 = (vsin 40 )t + \frac{1}{2} * (-9.8) t^2[/tex]

=>  [tex]-4.9t^2 + 9.6418t + 1 = 0[/tex]

using  quadratic formula to solve the equation we have

    [tex]t  =  2.07 \  s[/tex]

Generally distance covered along the horizontal is  

   [tex]D  =  v cos (40) *  2.07[/tex]

=>   [tex]D  =  15 cos (40) *  2.07[/tex]

=>   [tex]D  = 23.74 \  m [/tex]


Related Questions

answer this plzz and ill give you 12 points

Answers

Answer:

Explanation: I think its D

A bird can fly 25 km/hr. How long does it take to fly 10 km?

Answers

Answer:

25 minutes

Explanation:

At what time were the racers at the same position?
O 15
O 3s
O 5s
0 4s

Answers

The Answer is:

O 3s

Hope you got it right.
The answer is B
Have a great day

The south pole of a magnet is brought near to a solenoid, which is connected to an ammeter. As the magnet is moved towards and away from the point P, the ammeter shows deflection. What magnetic pole is produced at P when the south pole of the magnet is brought towards and away from the solenoid.

Answers

Answer:

This question appears incomplete

Explanation:

However, this question seeks to seek our knowledge of Lenz law which states that the current produced by an induced emf (electromotive force) moves/flows in the direction opposite to the change in flux that induced the emf.

From this law, it can be noted from the question that the magnetic pole produced (at P), when the south pole of the magnet is brought towards the solenoid, is the south pole while the magnetic pole produced (at P), when the south pole of the magnet is taken away/changed from the solenoid, is the north pole.

It should be noted that solenoid is an electromagnetic device (and can hence be used to induce emf) that can convert electrical energy to mechanical energy.

PLEASE HELPPPPPP!! 25 POINTS!!
Arnold ran the 100-meter dash in 24 seconds. Using the speed formula, calculate Arnold’s average speed.

Emma ran the 100 meter dash in 11 seconds. Using the speed formula, calculate Emma’s average speed.

Who was the fastest runner?

What was the winner's average speed?

Select the 2 best answers.


a. Arnold
b. Emma
c. The winner's average speed was 4.2 m/s
d. The winner's average speed was 9.1 m/s
e. The winner's average speed was 0.11 m/s
f. The winner's average speed was 100 m/s

Answers

B. Emma
D. The winners average speed was 9.1 m/s

Arnold’s average speed was 4.2 m/s
Emma’s average speed was 9.1 m/s

Which question asks for an opinion?
A. Can people who visit Mars use the resources there to fuel a return
trip to Earth?
B. How much more radiation reaches Mars's surface than reaches
Earth's surface?
C. Is it a good idea to try to establish human colonies on Mars?
D. Is it possible to establish a human colony on Mars?

Answers

Answer:

C

Explanation:

It says is it a good idea the person so 1 person can say no and the other one can say yes so it is asks for a opinion

A question that asks for an opinion is as follows:

Is it a good idea to try to establish human colonies on Mars?

Thus, the correct option for this question is C.

What is Opinion?

An opinion may be defined as a type of viewpoint, judgment, or statement that is not conclusive, rather than facts, which are true statements. It may vary from person to person, topic to topic, and condition to condition.

The opinion of any individual belongs or relates to one particular person rather than to other people. For example, in this given scenario, some reply to the question with a yes answer. In a manner, it is definitely a good idea to try to establish human colonies on Mars. While some categorized themselves on no side.

Therefore,  the correct option for this question is C.

To learn more about Opinion, refer to the link:

https://brainly.com/question/25607827

#SPJ5

A go-kart accelerates at a rate
of 12.0 m/s2 How long will it
take the go-kart to reach a
speed of 25 m/s?

please hurry

Answers

Answer:

if it is at a speed of 12.5 m / s it would take 2 minutes

Explanation:

Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is meters per minute. One kilometer is the same as 1,000 meters.

Answers

Answer:

200 m/min.

Explanation:

From the question given, we obtained the following data:

Total distance = 2 km

Total time = 2 + 4 + 1 + 3

Total time = 10 mins

Average speed =.?

Next, we shall convert 2 km to metre (m). This can be obtained as follow:

1 km = 1000 m

Therefore,

2 km = 2 km × 1000 m / 1 km

2 km = 2000 m

Therefore, 2 km is equivalent to 2000 m.

Finally, we shall determine the average speed of Cindy as follow:

Total distance = 2000 m

Total time = 10 mins

Average speed =.?

Average speed = Total distance /total time

Average speed = 2000 /10

Average speed = 200 m/min.

Therefore, the average speed of Cindy is 200 m/min.

ghhh what music do yall listen to

A particle or object with more electric charge produces a stronger and larger electric field.
true or false

Answers

I’m not sure if they get larger but the definitely get stronger

A ball is thrown horizontally from a height of 1 m and lands 5 m away. What is the time of flight of the ball?

Answers

Answer:

The time of flight of the ball is approximately 0.4515 s

Explanation:

The given information are;

The vertical height, s = 1 m

The horizontal distance travelled, x = 5 m

The direction of the initial velocity = Horizontal

Given that the vertical height is known and the ball is in free fall, the time of flight, t, will depend on the vertical motion of the ball

The equation of motion of the ball can be presented as follows;

s = u·t + 1/2·g·t²

The initial vertical velocity = 0

∴ 1 = 1/2 × 9.81 × t²

t² = 1/(1/2 × 9.81 ) ≈ 0.20387 s²

t = √0.20387 = 0.4515 s

The time of flight of the ball ≈ 0.4515 s.

What is the mass of the block of iron that has a density of 7.87 g/cm3. Its volume measurements are 2 cm x 10 cm x 5 cm.

Answers

I believe that the mass is 787 but I’m not 100% certain.

A crowbar makes our work easier by multiplying effort true or false​

Answers

Answer:

True

Explanation:

A crowbar makes our work easier by multiply effort because it belongs to first class lever.

And first class lever makes work easier by multiplying the effort

write dimention of plane angle work resistance density torgue

Answers

Torque : ML^2T^–2

Density : ML^–3

Work : ML^2T^–2

Plane angle: dimensionless quantity

Resistance : M^1 L^2 T^-3 I^-2

Alfredo is trying to measure the speed that cars travel down the street outside of his house. Outside his house there is a stoplight, and then another stoplight about ½ mile down the road. Alfredo says, "I can use my watch with a second hand to time the cars from when they leave the first light and stop at the next light. To find the speed I can just take the ½ mile distance and divide by the time." What are two flaws with Alfredo's plan which will not allow him to see how many cars are speeding on his street? Also explain how you would revise the experiment to avoid these problems

Answers

Answer:

drastic assumption that the car moves along the path at the same speed,

hese failures, it would be necessary to take the time of each type of trajectory, accelerated, constant and decelerated, this method is not easy since it implies knowing the distance in each type of movement,

Explanation:

In this exercise Alfredo makes a drastic assumption that the car moves along the path at the same speed, in reality the car when leaving the first traffic light accelerates until it reaches a speed, then remains constant and decelerates to be able to stop at the second traffic light.

To overcome these failures, it would be necessary to take the time of each type of trajectory, accelerated, constant and decelerated, this method is not easy since it implies knowing the distance in each type of movement, another method would be that the two traffic lights were in green so that the vehicle can run with constant speed throughout the trajectory

Express the number in scientific notation: -8,675,300.0

Answers

Answer:

It would be -8.6753 x 10 to the 6th power

Explanation

Water flows into a swimming pool at the rate
of 5.25 gal/min.
If the pool dimensions are 33.8 ft wide, 40 ft
long and 11.1 ft deep, how long does it take to
fill the pool? (1 gallon = 231 cubic inches)
Answer in units of min.
...

Answers

148.49 minutes

First find the cubic inch area of the pool.

33.8 x 40 x 11.1

You get 15007.2

Convert that to inches by multiplying it by 12.

You get 180086.4. Divide that by 231 since each 1 gallon is 231 cubic inches.

You get 779.594805

Now divde that by 5.25 (rate of flow)

You get 148.49 rouned to the nearest hundreth.

If you are able to do brainliest, I'll be happy. This took some big division...

How would you determine the acceleration from a v vs. t graph?

Answers

The acceleration is the slope of the v/t graph.

-- If the graph is a straight line, then pick any piece of the line, or even the whole graph, and divide (change in 'y') by (change in 'x') for the piece you chose.

-- If the graph is a curve or a squiggle, then you can do the same thing with a piece of it, and you get the average acceleration during that piece.

-- If you need the acceleration at one point on the graph, you have to lay a straight line against that point on the graph, and find the slope of that straight line.

What is the power (P) of an electric circuit with a current (1) of 2.5 A and a
voltage (V) of 120 V? The formula for power is P= IV.

Answers

If you plug in the data, it is 2.5A x 120v = 300W. The unit of power is Watts (W).

Answer:

B. 300 W

Explanation:

2.5 * 120 = 300

Watts is the unit of power

Base your answer to this question on the information below and on your knowledge of physics.
A wave traveling through a uniform medium has an amplitude of 0.20 meter, a wavelength of 0.40 meter, and a frequency of 10 hertz.
Determine the period of this wave.

What’s the period of this wave ?

Answers

Answer:

T=1/f

= 1/10

= 0.1 s

v = wavelength × frequency

= 0.40m × 10 Hz

= 4ms^-1

T = wavelength / velocity

= 0.04m / 4 ms^-1

= 0.1 m

Explanation:

so first i used the formula T=1/f and i found that the period, T is 0.1s

and secondly , to check whether i got the correct answer , i used a different formula

i used the formula T = wavelength / velocity

but there's an unknown in it , that's the velocity

so to find the velocity , i used the formula v = wavelength × frequency

when i've done the calculation , the second value of T is same as the first value of T

so , the value of the period, T is 0.1s

A car is traveling at a speed of 54 km/h. Breaks are applied so as to produce a uniform acceleration of -0.5 m/s2. Find how far the car will go before it is brought to rest

Answers

Explanation:

u=54 km/h

54*5/18=15 m/s

v=0m/s

t=?

acceleration=-0.5m/s^2

we know that a=v-u/t

so,

t=v-u/a

t=15-0/0.5

=15/0.5

=30

therefore, the time is 30 second

Hope this answer helps you..


1. If a distance-time graph contains the point (4, 15), what does that tell you about the runner?

Answers

Answer:

The answer is that the runner ran 4,15

Explanation:

The runner ran for 4 seconds and in 4 seconds he ran 15 yards or meters or feet

how magnets were first developed from pieces of lodestone and the different ideas that people had about them.

Answers

Explanation:

the mineral magnetite.They are naturally occurring magnets, which can attract iron. The property of magnetism was first discovered in antiquity through lodestones.Pieces of lodestone, suspended so they could turn, were the first magnetic compasses,

and their importance to early navigation is indicated by the name lodestone, which in Middle English means "course stone" or "leading stone", from the now-obsolete meaning of lode as "journey, way".

why is lightning seen before thunder is heard?

Answers

Answer: Lightning is seen before thunder is heard" is correct about thunderstorms

Explanation:

A "thunderstorm" is a disturbance in weather that is related with lightning, dense clouds, heavy rain, hail or thunder. During a thunderstorm, lightning is always seen before thunder because the speed at which the light travels is faster than that of sound's speed.

Also, thunder's noise could be heard up to 10 km away from lightning flash. The thunder sound lasts for a few seconds. The thunder makes noise because of the rapid and fast expansion of the heating of the air.

Pls mark as brainliest!

Answer:

because light is faster than sound

Explanation:

the speed of light is 299 792 458 m / s

and the speed of sound is 343 m / s

a boat is moving 1.3m/s N while the steam current is pushing the boat 2.2m/s What is the resultant velocity( I also need the givens,and the formula as well as the answer please and thank youuu)

Answers

Answer:

6) 2.6 m/s, 31°

7) 9.2 m/s

8) 1.2 s

Explanation:

I'll do #6, #7, and #8 as examples.  You can solve #9 using the equation from #7, and #10 using the equation from #8.

6) Take north to be +y and east to be +x.

Given:

vₓ = 2.2 m/s

vᵧ =  1.3 m/s

Find: v

v² = vₓ² + vᵧ²

v² = (2.2 m/s)² + (1.3 m/s)²

v ≈ 2.6 m/s

θ = atan(vᵧ / vₓ)

θ = atan(1.3 / 2.2)

θ ≈ 31°

7) Given:

Δy = -4.3 m

v₀ = 0 m/s

a = -9.8 m/s²

Find: v

v² = v₀² + 2aΔy

v² = (0 m/s)² + 2 (-9.8 m/s²) (-4.3 m)

v ≈ 9.2 m/s

8) Given:

Δy = -6.7 m

v₀ = 0 m/s

a = -9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

-6.7 m = (0 m/s) t + ½ (-9.8 m/s²) t²

t = 1.2 s

difference between acceleration and decceleration​

Answers

acceleration is considered to describe an increase or positive change of speed or velocity But deceleation is considered to describe a decrease or negative change of speed or velocity

give three uses of mirrors in everyday life

Answers

Answer:

1.to look at your face of their is a mess.

2.to see if your hair is messy.

3.to see of your name is messy

Explanation:

none

please help 25 points!
How long would it take you to run a 21 km race (a half marathon) if your average speed is 14 km/h?
How much TIME will it take you to finish the race?

a. 1.5 hours
b. 1.5 km/km/h
c. 0.7 hours
d. 0.7 km/hour
e. 294 hours

Answers

Answer:

A

Explanation:

t=s/t

t=21km/h:14km/hr

t=21/14* km/km *hr

t=1,5 hr

Answer:

A

Explanation:

To run a 21 km race at a 14 km/h would take 1.5 hours

The motion of an object is determined by the sum of the acting on it.

Answers

the force acting on that object

difference between precion and accuarcy

Answers

Answer: accuracy is how close a value is to their true value, like how close a arrow gets to the bull's eye center.  precision is how repeatable a measurement is, like how close a second arrow is to the first one.

Explanation:

Which Type of relationship is this ?

Answers

Answer:

Indirect relationship

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