The displacement s of a particle at a time t is given by` s = t^3 - 4t^2 - 5t`. Find its velocity and acceleration at t = 2.

Explanation

`S=t^(3)-4t^(2)-5t`
`:.` Velocity, `v=(ds)/(dt)=3t^(2)-8r-5`
At t=2,
`v=3.(2)^(2)-8(2)-5=12-16-5=-9m//s`
Acceleration, `a=(dv)/(dt)=(d)/(dt)(3t^(2)-8t-5)`
`:.a=6t-8`
At `t=2,a=6xx2-8=12-8=4m//s`