A ball is thrown straight up into the air from the roof of a building. he height of the ball measured from the ground is given by the function: s(t)= -16t^2+96t+256, height is in feet and t is in seconds

since the ball is thrown upwards hence the speed of ball will keep on decreaseing with respect to time !! maximum speed of ball is at t = 0 sec

let us differenciate we get ; ds/dt = V = -32t+96

at t = 0 speed = 96 ft/sec (maximum speed)

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