Find the instantaneous velocity of the particle after 3 seconds.

Question

A particle moves along a coordinate line and s, its directed distance in centimeters from the origin after t seconds, is given by s = f(t) = √6t+7. Find the instantaneous velocity of the particle after 3 seconds.

 _____centimeters per second

Answer 1

s(t) = (6t+7)^1/2

Instantaneous velocity at time t is s'(t) = (1/2)(6t+7)^-1/2(6) = 3 / √(6t + 7)

So, s'(3) = 3/√25 = 0.6 cm/sec