Show work

4) If a rock is dropped from a height of 144 ft. its position t seconds after it is dropped until it hits the ground is given by the function s (t) = -16t + 144 a) Determine how long it takes before the rock hits the ground. b) Find the average velocity Vayg of the rock when the rock is released and the rock hits the ground. c) Find the time t guaranteed by the Mean Value Theorem when the instantaneous velocity of the rock is Vaug