Ishan and Adil are at an amusement park and want to ride the Slingshot, a ride that uses steel cables and springs to vertically accelerate riders in an attached metal cage. The springs ensure the steel cables are taught the entire time. After the ride is over, Ishan and Adil check their cellphones and find their built in altimeters recorded a maximum height of 110 m above their starting point, and the accelerometers recorded a maximum acceleration of 14.3 m/s2 . For the following, model the ride as a simple harmonic oscillator and ignore air resistance and frictional forces. Required:
a. What was the maximum speed they experienced during the ride?
b. If the ride lasted for 5 full oscillations, how long did it last from start to finish?