Concept explainers
If you throw a ball straight upward at a speed of 10 m/s, how long will it take to reach zero speed? How long will it take to return to its starting point? How fast will it be going when it returns to its starting point?
The time taken by the ball to reach zero speed, time taken to return to its starting point, and the speed of the ball when it returns to its starting point.
Answer to Problem 54A
The time taken by the ball to reach zero speed is
Time taken to return to its starting point is
The speed of the ball when it returns to its starting point is
Explanation of Solution
Given:
The ball is thrown straight upward with velocity (initial velocity of the ball)
Formula used:
The time taken by the ball to reach zero speed can be calculated by using the equation,
Where,
The speed of the ball when it returns to its starting point can be calculated by using the equation,
Where,
Substituting for
Calculation:
The time taken by the ball to reach zero speed can be calculated by substituting the numerical values in equation
Since the ball has taken
The speed of the ball when it returns to its starting point can be calculated by substituting the numerical values in equation
Conclusion:
The time taken by the ball to reach zero speed is
Time taken to return to its starting point is
The speed of the ball when it returns to its starting point is
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Conceptual Physics: The High School Physics Program
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