Question

The position of an object at time t is given by s(t) = -1 - 13t. Find the instantaneous velocity at t = 8 by finding the derivative.

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Answer 1

the derivative of this position time function yields a function of velocity.
ds/dt = -13 , this becomes the solution to the problem because -13 is a constant and you cannot substitute by 8. so the answer is 13 to the negetive x-axis

Answer 2

Instantaneous velocity of the object is - 13.

Explanation:

It is given that,

The position of an object at time t is given by s(t) = -1 - 13t

Where

t is the time taken by the object.

We know that the first derivative of position gives the velocity.

So, s'(t) = - 13

So,the velocity of the object at t = 8 gives,

s'(8) = - 13

Hence, this is the required solution.