The acceleration of particle varies with time as shown.
(a) Find an expression for velocity in terms of t.
(b) Calculate the displacement of the particle in the interval from `t = 2 s` to `t = 4 s.` Assume that `v = 0` at `t = 0.`

Answer

A, B

Explanation

(a) `a=2t-2` (from the graph)
Now, `int_0^v dv=int_0^t adt=int_0^t (2t-2)dt`
`:. V=t^2-2t`
(b) `s=int_2^4 vdt=int_2^4 (t^2-2t)dt=6.67m`