3. You shoot an arrow straight up into the air with a velocity of 25 m/s.a. What is the velocity of the arrow at its peak?
b. How high did the arrow go?
c. How long is the arrow in the air?

Answers

Answer 1

Answer:

a) The velocity of the arrow at its peak is zero

b) The maximum height of the arrow is 31.9 m

c) The time of flight is 5.10 s

Explanation:

The motion of the arrow fired straight upward into the air is a uniformly accelerated motion, with constant acceleration $g=9.8 m/s^2$ (acceleration of gravity) towards the ground.

The initial velocity of the arrow when it is fired is upward: since the acceleration is downward, this means that as the arrow moves upward, its velocity decreases in magnitude.

Eventually, at some point, the velocity of the arrow will become zero, and then it will change direction (downward) and will start increasing in magnitude. The moment when the velocity raches zero corresponds to the peak of the trajectory of the arrow: therefore, at the peak the velocity is zero.

Since the motion of the arrow is a uniformly accelerated motion, we can use the following suvat equation:

$v^2-u^2=2as$

where

v is the final velocity

u is the initial velocity

a is the acceleration

s is the displacement

For the arrow, we have:

u = 25 m/s

v = 0 (when the arrow reaches the peak)

$a=g=-9.8 m/s^2$ (negative because downward)

s is the maximum height reached by the arrow

And solving for s,

$s=(v^2-u^2)/(2a)=(0-(25)^2)/(2(-9.8))=31.9 m$

In order to find the time it takes for the arrow to reach the maximum height, we use the following suvat equation:

$v=u+at$

where here we have:

v = 0 is the final velocity at the peak

u = 25 m/s

$a=g=-9.8 m/s^2$

And solving for t,

$t=-(u)/(g)=-(25)/(-9.8)=2.55 s$

This is the time the arrow takes to reach the top of the trajectory: therefore, the total time of flight is twice this value,

$T=2t=2(2.55)=5.10 s$

Learn more about accelerated motion:

brainly.com/question/9527152

brainly.com/question/11181826

brainly.com/question/2506873

brainly.com/question/2562700

#LearnwithBrainly

Related Questions

What is a complete wave?
What type of material is inside the holes in an electrical outlet?
PLEASE HELP!!!!!!suppose that mA is 8.1 kg and mBis 6.5kg. The distance between their centers is 0.5o m.Calculate the force of attraction between these two bodies?
What happens to the negative charges
Natural forces that can alter ecosystems include seasons and climate changes.T or F

A(n) forms when a large, high-pressure system lingers over an area for several days.

Answers

The answer is Air Mass :)))))))

The boundary between cold and warm air masses is called

Answers

It's called a "Front"

Answer: It would be a front

A water balloon was dropped from a high window and struck its target 1.1 seconds later. If the balloon left the person's hand at -5.0 m/sec, what was its velocity on impact?

Answers

The acceleration of gravity on Earth is 9.8 meters per second every second. So
in 1.1 second of falling, an object gains (9.8 x 1.1) = 10.78 meters per second of
downward speed.

The balloon was already falling at 5 m/sec when the time began, and it gained
another 10.78 m/sec on the way. So at the end of 1.1 second, its downward
speed was (5.0 + 10.78) = 15.78 m/sec.

Its velocity was 15.78 m/sec downward.

Which of the following changes can happen when the forces on an object are unbalanced?a. The object speeds up
b. the object slows down
c. the object changes direction
d. all of the above

Answers

the answer too your question is c.

We all know that in the earth gravity is there,but why clouds doesn't fall down???

Answers

Answer: Clouds are evaporated sea water. You should be asking "Why does the gravity on Earth pull us down and not evaporated water.

Explanation:

Answer:

Because of their mass

Explanation:

Clouds are made of water right ? so you are asking why they don't fall down if air is lighter than water .

The two biggest reasons the clouds stay in the sky are

1. Small Drops

2. Wind

Small drops of water fall more slowly than big drops, as the drops of the clouds fall thought the air, the air pushes back to them, because Small drops has less mass than large drops, clouds can only contain small drops of water.

What is an cell described in