Find the impulse of a 50. kg object under the following scenarios:
a. The object accelerates to 7.5 m/s from rest.
b. The object stops from a velocity of 12.0 m/s.
c. The object change in velocity from 2.2 m/s to 6.3 m/s.
d. The object hits the ground with 2.5 m/s and rebounds with the same speed

You have been hired to design a spring-launched roller coaster thatwill carry two passengers per car. the car goes up a 10-m highhill, then descends 15m to the track's lowest point. you'vedetermined that the spring can be compressed a maximum o 2.0m andthat a loaded car will have a maximum mass of 400kg. for safetyreasons, the spring constant should be 10% larger than the minimumneeded for the car to just make it over the top. a) what spring constant (k) should you specify ? b) what is the maximum speed of a 350 kg car if the spring iscompressed the full amount.