Question

A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2+ 350. Include units in your answer.

What is the velocity of the ball after 2 seconds?

Answer 1

We are given the distance as a function of time:

s = 4.9 t^2 + 350

 

To get the velocity, we take the first derivative and substitute the value of t = 2:

ds = 9.8 t dt

ds / dt = 9.8 t

velocity = 9.8 (2)

velocity = 19.6 m/s