Quick - an object is dropped from a tower, 159 ft above the ground. the object's height above ground t sec into the fall is s =159−16t^2. a. what is the object's velocity, speed, and acceleration at time t? b. about how long does it take the object to hit the ground? c. what is the object's velocity at the moment of impact?

The velocity is the rate of change of the object's position:



Acceleration is the rate of change of velocity:



The time it takes for the ball to hit the ground is the time for which , since describes the position of the ball above the ground.



(in seconds)

The object's velocity at this time can be found by plugging in this value of in to the velocity function.



(in feet per second)