A ball is thrown upward from a height of 640 feet above the ground with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v(t) = 96 - 32t feet per second. Find s(t), the function giving the height of the ball at time t. How long will the ball take to reach the ground? How high will the ball go?
Show transcribed image textA ball is thrown upward from a height of 640 feet above the ground with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v(t) = 96 - 32t feet per second. Find s(t), the function giving the height of the ball at time t. How long will the ball take to reach the ground? How high will the ball go?