Question

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 1

Correct Answer - A::B
(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`