Question

derive the equation of Minimum Velocity​

Answer 1

Explanation:

There is a particle moving along the x-axis at any time t≥0. The velocity of this particle is given by

v(t)=cos(πt)−t(6−2π).

I am supposed to find the particle's minimum velocity over the interval [0,2]. I found the derivative of this velocity function and set it equal to zero, but I am having trouble with getting the right answer. I used the option on my calculator to find the min, but I can’t seen to find it using calculus. Help is greatly appreciated!