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  Home : Math & Science : Math Study Guides : Calculus AB : The Derivative : Problems for "Rates of Change and Applications to Motion"
Applications of the Derivative (AB)
  
 
Problems for "Rates of Change and Applications to Motion"
Position for an object is given by s(t) = 2t2 - 6t - 4, measured in feet with time in seconds
Problem 1.1: What is the average velocity of the object on [1, 4]?
[Solution]
Problem 1.2: What is the instantaneous velocity at t = 1 and at t = 4?
[Solution]
Problem 1.3: What is the total distance traveled on [1, 4]?
[Solution]
Problem 1.4: A ball is dropped vertically from a height of 100 meters. Assume that the acceleration due to gravity has a magnitude of 10 m/s2.

What is the velocity at t = 2?
[Solution]
Problem 1.5: What is the position of the ball at t = 2?
[Solution]
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