Thread: Help with Vertical Motion Problem

1. Help with Vertical Motion Problem

The problem is "A ball is thrown vertically upward from ground level with an initial velocity of 96ft per second. Assume acceleration of -32 ft/sec^2.

1) After how many seconds is the velocity of the ball one-half the initial velocity?
2) What is the height of the ball when the velocity is one-half the initial velocity?

2. Re: Help with Vertical Motion Problem

Start by writing an expression for the velocity v(t) as a function of time. You should be able to get the answer to #1 from just that. Then if you integrate the velocity $\int v(t)\,dt$, that should give you the position s(t) as a function of time. There will be a constant of integration, which you can evaluate by observing that s(0)=0.

- Hollywood