Question

A 0.5 kg air-track car is attached to the end of a horizontal spring of constant k = 20 N/m. The car is displaced 15 cm from its equilibrium point and released.
a) What is the car's maximum speed?
b) What is the car's maximum acceleration?
c) What is the frequency f of the car's oscillation?

I need help please! Do it step by step and then substitute the numbers into that equation

Answer 1

determine max speed from
maxKE=maxSpringPE

for max acceleration
1/2 m v^2=1/2 kx^2
2v v'=2kx v
v' acceleration=kx/m

period=2PIsqrt(mass/k)

and freq= 1/period