Chapter 14.3, Problem 41E

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.

37. A soccer ball has an initial position 〈x₀, y₀〉 = 〈0, 0〉 when it is kicked with an initial velocity of 〈u₀, v₀〉 = 〈30, 6〉 m/s.