Concept explainers
(a)
At what time does the ball reach its maximum height?
(a)
Answer to Problem 83P
The ball reach its maximum height at
Explanation of Solution
The graph shown plots the velocity-time graph of the ball. When the ball reaches the maximum height, its velocity will be zero there. From the graph at time
Conclusion
Therefore, The ball reach its maximum height at
(b)
For how long is the ball in contact with the floor?
(b)
Answer to Problem 83P
The ball remains in contact with the floor for time of
Explanation of Solution
The graph shown plots the velocity-time graph of the ball. The time for which the ball remains in contact with the floor is equal to the time for which the ball makes a transition from its extreme negative velocity point to extreme positive velocity.
Write the equation to find the time of transition of ball.
Here,
Conclusion:
Substitute
Therefore, The ball remains in contact with the floor for time of
(c)
What is the maximum height reached by the ball?
(c)
Answer to Problem 83P
The maximum height reached by ball is
Explanation of Solution
Write the equation to find the maximum height reached by the rocket.
Here,
Substitute
Conclusion:
Substitute
Therefore, The maximum height reached by ball is
(d)
What is the acceleration of the ball while in the air?
(d)
Answer to Problem 83P
The acceleration of the ball while in the air is
Explanation of Solution
Write the equation to find the acceleration of the ball.
Here,
Conclusion:
Substitute
Since the acceleration is negative, it is acting down wards.
Therefore, The acceleration of the ball while in the air is
(e)
What is the average acceleration of the floor while in contact with the floor?
(e)
Answer to Problem 83P
The average acceleration of the ball is
Explanation of Solution
Write the equation to find the average acceleration of the ball.
Here,
Conclusion:
Substitute
Since the acceleration is positive, it is acting upwards.
Therefore, The average acceleration of the ball is
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