Question

Use the position function s(t) = –4.9t^2 + 700, which gives the height (in meters) of an object that has fallen for t seconds from a height of 700 meters. The velocity at time t = a seconds is given by the following.

Answer 1

Step-by-step explanation:

Here, we want to get the velocity at time t

To do this, we have to find the first derivative of the given position function

Mathematically, we have that as:

`S^(\prime)(t)\text{ = 2(-4.9)(t) = -9.8t}`

We simply proceed to substitute the value of t = 5 seconds

We have this as: