Question

The position of an object at time t is given by s(t) = -8 - 9t. Find the instantaneous velocity at t = 1 by finding the derivative.

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Answer 1

At t = 1s, The instantaneous velocity will be -9

Explanation:

The position is given by

s(t) = -8 - 9t

If we find the derivative, we get the expression for the velocity

d(s(t))/dt = v(t) = -9

The velocity of the object is constant.

At t = 1s, it will be -9