A tennis ball is hit into the air and moves along an arc. Neglecting air resista

Question

A tennis ball is hit into the air and moves along an arc.

Neglecting air resistance, consider (a) the initial position of the tennis ball just after it is struck and (b) the position of the tennis ball at its maximum height. Below are pairs of statements referring to the two positions, (a) and (b). Choose all that are correct.


1) At (a) the speed of the tennis ball is least; and at (b) the speed of the tennis ball is largest.

2) At (a) the speed of the tennis ball is greatest; and at (b) the magnitude of the acceleration of the tennis ball is 9.8 m/s2.

3) At (a) the magnitude of the acceleration of the tennis ball is 9.8 m/s2; and at (b) the velocity of the tennis ball is horizontal.

4) At (a) the vertical component of the ball's velocity is its largest upward value; and at (b) the vertical component of the ball's velocity is zero.

5) At (a) the direction of the ball's velocity is horizontal; and at (b) the ball's acceleration is zero.

6) At (a) the direction of the ball's acceleration is tangent to the arc of the ball's motion at that point; and at (b) the magnitude of the ball's velocity is zero

Explanation / Answer

Correct options are-

2) acceleration at all point is 9.8 m/s2, ie acceleration due to gravity

3) same as above, at highest point vertical velocity becomes zero

4) at highest point vertical velocity becomes zero, vertical velocity decreases due to decceleartion against gravity

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