Finding velocity and acceleration

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.

Question options:

1)	12 m/sec; 22 m/sec2
2)	22 m/sec; 18 m/sec2
3)	22 m/sec; 6 m/sec2
4)	14 m/sec; 3 m/sec2

Answer 1

For velocity, take the first derivative: v(t) = s' = 3t² - 5

For acceleration, it's the 2nd derivative: s" = 6t