# Calculus AB: Applications of the Derivative

### Problems for "Rates of Change and Applications to Motion"

Position for an object is given by s(t) = 2t 2 - 6t - 4 , measured in feet with time in seconds

Problem : What is the average velocity of the object on [1, 4] ?

Problem : What is the instantaneous velocity at t = 1 and at t = 4 ?

Problem : What is the total distance traveled on [1, 4] ?

Problem : A ball is dropped vertically from a height of 100 meters. Assume that the acceleration due to gravity has a magnitude of 10 m/s 2 .

What is the velocity at t = 2 ?

Problem : What is the position of the ball at t = 2 ?

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