22. [I14Points] I DETAILS I TANAPCALC102.6.030. I MY NOTES II ASKYOURTEACHER II PRACTICEANOTH Velocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of fever [a, b]; its (instantaneous) velocity at t = a is the rate c change of fat a. A ball is thrown straight up with an initial velocity of 96 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 961' 16232. (a) What is the average velocity of the ball over the following time intervals? [4, 5] ft/sec [4, 4-5] ft/sec [4, 4-1] ft/sec (b) What is the instantaneous velocity at time t = 4? ft/ sec (c) What is the instantaneous velocity at time t = 5? ft/ sec Is the ball rising or falling at this time? O rising O falling (d) When will the ball hit the ground? 1' = SEC 24. [-/2 Points] DETAILS TANAPCALC10 2.4.044. MY NOTES ASK YOUR TEACHER Find the indicated limit given that lim f(x) = 6 and lim g(x) = 3. x- a x-a lim (f(x) . g(x) ) x - a Need Help? Read It Watch It 25. [-/8 Points] DETAILS TANAPCALC10 2.6.028.MI. MY NOTES ASK YOUR TEACHER Let f be defined as follows. y = f(x) = x2 - 7x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 6 to x = 7 from x = 6 to x = 6.5 from x = 6 to x = 6.1 (b) Find the (instantaneous) rate of change of y at x = 6