Question

Given the position function s(t), s(t) = t3 - 5t, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 3 seconds. (5 points)

a.)12 m/sec; 22 m/sec2
b.)22 m/sec; 18 m/sec2
c.)22 m/sec; 6 m/sec2
d.) 14 m/sec; 3 m/sec2

Answer 1

b

Explanation:

given s(t) = t³ - 5t then

v(t) = s'(t) = 3t² - 5 and

v(3) = 3(3)² - 5 = 22 m / s, and

a(t) = v'(t) = 6t, then

a(3) = 6 × 3 = 18 m / s²