Suppose you throw a ball straight upward; it rises, then returns to your hand (a) Calling the point where it leaves your hand the origin and upward positive, make a plausible sketch of its position (vertical height) x(t) versus time t from the instant after it leaves your hand till the instant before it reaches it again.
(b) From your x(t) plot, make a sketch of the ball’s velocity v(t) versus time.
(c) From your velocity plot, sketch a plot of the ball’s acceleration versus time.
(d) Does your plot suggest that the ball’s acceleration is zero at the top of its flight?

Please find the attached file for the solution

Explanation:

Given that you throw a ball straight upward; it rises, then returns to your hand

(a) Calling the point where it leaves your hand the origin and upward positive, make a plausible sketch of its position (vertical height) x(t) versus time t from the instant after it leaves your hand till the instant before it reaches it again.

(b) From your x(t) plot, make a sketch of the ball’s velocity v(t) versus time.

(c) From your velocity plot, sketch a plot of the ball’s acceleration versus time.

(d) Does your plot suggest that the ball’s acceleration is zero at the top of its flight

Please find the attached file for the solution and graph

+15-35=-20

going in opposite directions