(III) An unmarked police car traveling a constant 95km/h is passed by a speeder traveling 135km/h Precisely 1.00 s after the speeder passes, the police officer steps on the accelerator; if the police car’s acceleration is 2.60m/s2 how much time passes before the police car overtakes thespeeder (assumed moving at constant speed)?

(a) A word problem involving instantaneous velocity that can be solved using limits. the world problem: A football is dropped out of a window of an airplane 4072 feet off the ground at a rate of 22t^2 feet per second where t is the amount of time since the football was dropped. Find the instantaneous velocity of the ball just before it hits the ground. justify the answer algebraically please!?

(d) Then in order to end the race, the runner decelerates from the velocity of 9 m/s at a rate of 2 m/s2. How far in meters does she travel during the deceleration before stopping? (Assume the deceleration of 2 m/s2 is constant.) (e)How long does it take for the runner to stop during the above deceleration ? (f) Draw the Velocity vs. Time Graph for the entire motion described in above question parts. (g) Draw the Acceleration vs. Time Graph.