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