Chapter 14, Problem 14.21E

A 1.50-kg mass on a spring has displacement as a function of time given by

$x\left(t\right)=\left(7.40\text{ cm}\right)\cos \left[\left(4.16\text{ rad/s}\right)t-2.42\right]$

Find (a) the time for one complete vibration; (b) the force constant of the spring; (e) the maximum speed of the mass; (d) the maximum force on the mass; (c) the position, speed, and acceleration of the mass at t = 1.00 s; (f) the force on the mass at that time.