Question

The position of an object moving along a line is given by `p(t) = 2t^3 - 2t^2 +1`. What is the speed of the object at `t = 4`?

Answer 1

`v(4)=80`

Explanation:

`v(t)=d/(d t) p(t)`

`v(t)=d/(d t) (2t^3-2t^2+1)`

`v(t)=6t^2-4t+0`

`"if" " t=4 " ->" "v(4)=6*4²-4*4=96-16=80`

`v(4)=80`