A student throws a ball straight upward and catches it back at the same height.

Question

A student throws a ball straight upward and catches it back at the same height. A friend makes a graph of the velocity of the ball as a function of time: Do you agree or disagree with this graph? Why, or why not? If you believe it is wrong, how would you correct it? The student has now the friend time how long it takes the ball to reach the maximum height. Before they start the experiment, the friend predicts: "If you throw the ball faster, the ball will reach the highest point in less time." Do you agree or disagree with this statement? Why or why not? If you disagree, how would you correct it?

Explanation / Answer

1) The graph is not correct .

As, when the velocity becomes zero at maximum height , the direction of velocity is reversed .

Thus, after zero velocity the graph is in downward direction .

2) As, v = u + gt

For maximum height , v = 0

=> time taken , t = u/g

Thus, more the initial velocity , more the time taken .

Thus, statement is incorrect .

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