a ball rolls up a incline with a initial velocity of 15 m/s, the ball comes to rest on the incline after rolling for 4 seconds
a - what is the acceleration of the ball
b - what is the ball's speed at the end of 5 seconds
c - how far up the incline does the ball go before it stops and turn around
Force F down slope
F = m a and a is constant down because assume F and m are constant
v = Vi + a t
x = xi + Vi t + .5 a t^2
here Vi = +15
and v = 0 when t = 4
0 = 15 + a (4)
a = - 15/4 (part a)
so now
v = 15 - (15/4 ) t so put in 5 for t to get part b
x = 0 + 15 t + .5 (15/4) t^2 put in 5 for t to get part c