Question

A ball is rolling down a hill. The ball accelerates from rest to 2 m.s in 4 seconds.
a)What is the acceleration?
b)How far does the ball roll in the 4 seconds?

please show the work too. im so confused on this.

Answer 1

average acceleration is computed by:
\[\frac{\Delta \alpha}{\Delta t}\]
or the change in accel divided by change in t.

In this case:
(2-0)/(4-0)
2/4=1/2 <= average acceleration

with part b, think of it as this:
4s*1/2m/s^2 = 2 m/s *4 s = 8m

if I'm remembering that bit right O.o
I really want to use calculus because it makes more sense