Being lazy, you decide that instead of walking over to retrieve your stolen kidney, you will ride there on a rocket-powered kangaroo. You hop on, fire up the rocket, and the kangaroo begins accelerating at 8 m/s2 After some amount of time, it reaches its top speed, and then maintains that speed for 3 seconds, at which point you realize you are heading in the wrong direction, getting further away from your kidney. So at your command, the kangaroo slams his feet into the ground and deploys his parachute (allrocket-powered kangaroos have parachutes), and rapidly decelerates at 15 m/s2. By the time you stop, you have travelled 700 meters in the wrong direction. a. Plot the velocity of the kangaroo (that you’re riding) as a function of time.
b. How long did the kangaroo initially accelerate for before reaching his top speed?