A ball is dropped from the top of the Empire State building to the ground below. The height, y, of the ball above the ground (in feet) is given as a function of time, t (in seconds), by y = 1250 - 16+ (a) Find the velocity of the ball at time t. The velocity of the ball at time t is –32 t ft/sec. The sign of the velocity is negative because its height is decreasing (b) The acceleration of the ball is constant at -32 ft/sec ✓ (c) When does the ball hit the ground, and how fast is it going (b) The acceleration of the ball is constant at -32 I ft/sec² (c) When does the ball hit the ground, and how fast is it going at that time? NOTE: Enter the exact answer, or round to two decimal places, The ball hits the ground at t = 8.84 seconds. The ball is going - 282.88 ft/sec. X The ball is going - 192.84 miles per hour. NOTE: I ft/sec = 15/22 mph. The pressure or a sample of an ideal gas held at a constant temperature is 100 P = f(V) = atmospheres, V where V is the volume of the gas sample, in liters. Find f(15) and f'(15). What do your answers tell you about the pressure and volume of the sample? NOTE: Enter the exact answers or round to three decimal places. X f(15) = 15 liters per atmosphere X which tells us that the pressure on a sample of gas ✓ having a volume 7 of 15 liters X is 15 atmospheres. x f'(15) = 15 atmospheres per liter which tells us that when the sample of gas has a volume of 15 liters, pressure on the gas decreases by about 100 atmospheres