Chapter 14.3, Problem 43E

Two-dimensional motion Consider the motion of the following objects. Assume the x-axis is horizontal, the positive y-axis is vertical, the ground is horizontal, and only the gravitational force acts on the object.

1. a. Find the velocity and position vectors, for t ≥ 0.
2. b. Graph the trajectory.
3. c. Determine the time of flight and range of the object.
4. d. Determine the maximum height of the object.

39. A baseball has an initial position (in feet) of 〈x₀, y₀〉 = 〈0, 6〉 when it is thrown with an initial velocity of 〈u₀, v₀〉 = 〈80, 10〉 ft/s.