A $0\mathrm{.}400-kg$ object attached to a spring with a force constant of $8\mathrm{.}00\frac{N}{m}$ vibrates in simple harmonic motion with an amplitude of $13\mathrm{.}0$ cm $.($Assume the position of the object is at the origin at $t=0.)$

$($a$)$ Calculate the maximum value of its speed.

$5$

$c\frac{m}{s}$

$($b$)$ Calculate the maximum value of its acceleration.

$c\frac{m}{s^2}$

$($c$)$ Calculate the value of its speed when the object is $9\mathrm{.}00$ cm from the equilibrium position.

$c\frac{m}{s}$

$($d$)$ Calculate the value of its acceleration when the object is $9\mathrm{.}00$ cm from the equilibrium position.

$c\frac{m}{s^2}$

$($e$)$ Calculate the time interval required for the object to move from $x=0$ to $x=7\mathrm{.}00cm.$

This is the time for the object to travel from its maximum displacement to $9\mathrm{.}00$ cm $.$ Remember that the object is at the origin at $t=0s.s$

Need Help? $$