The position of a particle is given in cm by x 5 cos 8t

Question

Compute all parts of given problem:

Problem: The position of a particle is given in cm by x = (5) cos 8?t, where t is in seconds.

Part A: Find the maximum speed.

........... m/s

Part B: Find the maximum acceleration of the particle.

........... m/s²

Part C: What is the first time that the particle is at x = 0 and moving in the +x direction?

............. s

Show all work, use additional paper if necessary.