Question

Let s ( t ) = 6 t 3 − 9 t 2 − 360 t be the equation of motion for a particle. Find a function for the velocity.

Answer 1

V(t) = 18t²-18t-360

Explanation:

Given the equation of motion of particle expressed as:

s(t) = 6t³-9t²-360t

Velocity is the change in displacement of a body with respect to time.

V(t) = ds(t)/dt

V(t) = 3(6)t²-2(9)t¹-360

V(t) = 18t²-18t-360

Hence the function of the velocity is V(t) = 18t²-18t-360