Question

The position of an object moving along a line is given by `p(t) = t^2 - 2t +3`. What is the speed of the object at `t = 3`?

Answer 1

`4ms^(-1)`

assuming SI units

Explanation:

speed `=(dp)/(dt)=p'(t)`

`p(t)=t^2-2t+3`

differentiate `wrt" "t`

`p'(t)=2t-2`

`p'(3)=2xx3-2=6-2=4`