Question

I need help with linear motion!

Answer 1

Can you rewrite s(t) ? There is no t anywhere on the RHS.

Answer 2

s(t)-16t^2+128

sorry! @aum

Answer 3

Are you sure there is no t at then end of 128?

Answer 4

super sure

Answer 5

to find the max height I took the derivative of s(t) which is -32t and set it =0 and I got 0 seconds.

Answer 6

Okay, then the maximum height is at t = 0 and the maximum height is 128 units.

Answer 7

how would i find when the ball hits the ground and the velocity when the ball hits the ground?

Answer 8

@aum

Answer 9

When the ball hits the ground s(t) = 0. Solve for t.

Answer 10

then to find the velocity do I just plug in the answer for that ^ for t in the -32t equation?

Answer 11

velocity = ds/dt
Find the derivative of s and plug in the time t when it hits the ground.