Given s(t) = 3t + 9, where s is in miles and t is in hours, find each of the fol

Question

Given s(t) = 3t + 9, where s is in miles and t is in hours, find each of the following a) v(t) b) a(t) c) The velocity and acceleration when t = 2 hr d) When the distance function is given by the linear function, there is uniform motion. What does uniform motion mean in terms of velocity and acceleration? a) v(t) b) a(t) c) When t = 2, the velocity is miles per hour. (Simplify your answer.) When t = 2, the acceleration is miles per hour squared (Simplify your answer.) d) What does uniform motion mean in terms of velocity and acceleration? Choose the correct answer below A. The velocity and acceleration decrease as the function increases B. The acceleration remains constant and there is no velocity. C. The velocity and acceleration increase as the function increases. D. The velocity remains constant and there is no acceleration.

Explanation / Answer

a)v(t) =(d/dt)(s(t) =3

b(a(t) =(d/dt)v(t) =0

c) at t=2; velocity is 3 miles per hour.

d)at t=2;acceleration is 0 miles per hour squared

d)

option D is correct

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