High School

A ball is launched straight up with an initial speed of 66 mph. The magnitude of the acceleration due to gravity is approximately 22 mph per second.

Using this magnitude, answer the following questions. When asked for a velocity, use the conventional + axis direction as up.

1. What is the velocity of the ball 1 second after launch?
- A. -66 mph
- B. -44 mph
- C. -22 mph
- D. 0 mph
- E. +22 mph
- F. +44 mph
- G. +66 mph

2. What is the velocity of the ball 2 seconds after launch?
- A. -66 mph
- B. -44 mph
- C. -22 mph
- D. 0 mph
- E. +22 mph
- F. +44 mph
- G. +66 mph

3. What is the velocity of the ball 3 seconds after launch?
- A. -66 mph
- B. -44 mph
- C. -22 mph
- D. 0 mph
- E. +22 mph
- F. +44 mph
- G. +66 mph

4. What is the velocity of the ball 4 seconds after launch?
- A. -66 mph
- B. -44 mph
- C. -22 mph
- D. 0 mph
- E. +22 mph
- F. +44 mph
- G. +66 mph

5. What is the velocity of the ball 5 seconds after launch?
- A. -66 mph
- B. -44 mph
- C. -22 mph
- D. 0 mph
- E. +22 mph
- F. +44 mph
- G. +66 mph

6. What is the velocity of the ball 6 seconds after launch?
- A. -66 mph
- B. -44 mph
- C. -22 mph
- D. 0 mph
- E. +22 mph
- F. +44 mph
- G. +66 mph

7. How long does it take the ball to reach the highest point?
- A. 1 s
- B. 2 s
- C. 3 s
- D. 4 s
- E. 5 s
- F. 6 s

8. How long does it take the ball to return back down to the same height?
- A. 1 s
- B. 2 s
- C. 3 s
- D. 4 s
- E. 5 s
- F. 6 s

Answer :

The time to reach the highest point is 3 seconds.

To solve the given questions, we can use the kinematic equations of motion. Let's go through each question one by one:

The velocity of the ball 1 s after launch,

The initial velocity of the ball is -66 mph (negative sign indicating upward direction).

The acceleration due to gravity is approximately 22 mph per second (also in the upward direction).

Using the equation of motion v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can calculate:

v = -66 mph + (-22 mph/s) * 1 s = -66 mph - 22 mph = -88 mph.

The velocity of the ball 2.5 s after launch,

Using the same equation of motion, we can calculate:

v = -66 mph + (-22 mph/s) * 2.5 s = -66 mph - 55 mph = -121 mph.

What is the velocity of the ball 3 s after launch?

Using the same equation of motion:

v = -66 mph + (-22 mph/s) * 3 s = -66 mph - 66 mph = -132 mph.

the velocity of the ball 4.5 s after launch,

Using the same equation of motion:

v = -66 mph + (-22 mph/s) * 4.5 s = -66 mph - 99 mph = -165 mph.

the velocity of the ball 5.5 s after launch,

Using the same equation of motion:

v = -66 mph + (-22 mph/s) * 5.5 s = -66 mph - 121 mph = -187 mph.

the velocity of the ball 6 s after launch,

Using the same equation of motion:

v = -66 mph + (-22 mph/s) * 6 s = -66 mph - 132 mph = -198 mph.

How long does it take the ball to reach the highest point?

The ball reaches the highest point when its velocity becomes zero. Using the equation v = u + at, and setting v = 0 mph, we can solve for t:

0 = -66 mph + (-22 mph/s) * t_highest.

Solving for t_highest, we find:

t_highest = 66 mph / 22 mph/s = 3 seconds.

How long does it take the ball to return back down to the same height?

Since the time to reach the highest point is 3 seconds, it will take the same amount of time to return back down to the same height.

Therefore, 3 seconds.

Learn more about time from the given link

https://brainly.com/question/479532

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