A particle is moving along x-axis. The postion of the particle at any instant is given by :
`x = a + bt ^(2).`
where `a = 6m and b = 3.5ms ^(-2).` Find the velcity of the particle at t = 0 s an t = 3 s.

Explanation

We are given `x a + b t ^(2)`
Here ` a = 6 m, b = 3. 5 ms ^(-2).`
We are to calculate, velocity at t = 0 s and t = 3 s.
Using relation `v =(dx)/(dt)`
We have, `v = (d )/(dt) (a +bt ^(2)) = 2 bt.`
at `t = 0 and b = 3.5 implies v = 2 xx 3.5 xx 0=0`
at ` t = 3s`
`v = 2 xx 3.5 xx 3 = 6 xx 3.5 implies v = 21 ms ^(-1).`