Question

The position of an object at time t is given by s(t) = 1 - 10t. Find the instantaneous velocity at t = 10 by finding the derivative. show work

Answer 1

`-10ms^(-1)`

Explanation:

The position function is
`s(t)=1-10t`.

The instantaneous velocity at t=10 is given by:

`s'(10)`.

We first of all find the derivative of the position function to get:

`s'(t)=-10`

We now substitute t=10 to get:

`s'(10)=-10`

Therefore the instantaneous velocity at t=10 is -10m/s