Activity 2.2.15. In this activity you will study (again!) the velocity of a ball falling under gravity. A ball is tossed vertically in the air from a window. The height of the ball (in feet) is given by the formula t) 2 64 16(t 1)\". where t is the seconds after the ball is launched. Recall that in Activity211 you used numerical methods to approxmiate the instantaneous velocity of fft} to calculate v(2}!. (a) Using the limit definition of the derivative function, nd the velocity function of the ball 9(1) 2 f'(t). (b) Using the velocity function v(t]. what is 6(1). the instantaneous velocity at t = l? -32 feet per second 32 feet per second A. B. C. 0 feet per second D. -16 feet per second E. 16 feet per second (c) What behavior would explain your nding? A. After 1 second the ball is falling at a speed of 32 meters per second. B. After 1 second the ball is moving upwards at a speed of 32 meters per second. C. After 1 second the ball reaches its highest point and it stops for an instant. D. After 1 second the ball is falling at a speed of 16 meters per second. E. After 1 second the ball is moving upwards at a speed of 16 meters per second