Explanation:
According to the given data, formula for the period of oscillation is as follows.
T = [tex]2 \pi \sqrt{\frac{m}{k}}[/tex]
or, T = [tex]2 \pi \sqrt{\frac{mg}{kg}}[/tex]
= [tex]2 \times 3.14 \times \sqrt{\frac{2000 pounds}{25000 lbs/foot \times 32 ft/s^{2}}}[/tex]
= 0.314 s
Thus, we can conclude that period of oscillation of the vertical motion of the car is 0.314 s.
