A particle moving with uniform acceleration passes the point `x=2m` with velocity `20 m//s` at the instant `t=0`. Some time later it is observed at the point `x=32 m` moving with velocity `10 m//s`.
(a) What is its acceleration?
(b) Find its position nd velocity at the instant `t=8 s`.
(c) What is the distance traveled during the interval `t=0` to `8s`?

Explanation

To solve the problem step by step, we will break it down into three parts as requested.

### Given Data:
- Initial position, \( x_0 = 2 \, \text{m} \)
- Initial velocity, \( v_0 = 20 \, \text{m/s} \)
- Final position, \( x = 32 \, \text{m} \)
- Final velocity, \( v = 10 \, \text{m/s} \)

...