The position function of an object moving along a straight line is given by s=f(t). the average velocity of an object over the time interval [a, b] is the average rate of change of f over [a, b]; it’s velocity at t=a is the rate of change of f at a. a ball is thrown straight up with an initial velocity of 144ft/sec, so that it’s height (in feet) after t sec is given by s=f(t)= 144t-16t^2. (a)what is the average velocity of the ball over the following time intervals? [3,4]= ft/sec [3,3.5]= ft/sec [3,3.1]= ft/sec (b) what is the instantaneous velocity at time t=3? ft/sec (c) what is the instantaneous velocity at time t=8? ft/sec (d) when will the ball hit the ground?