Chapter 14.3, Problem 46E

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.

42. A rock is thrown from the edge of a vertical cliff 40 m above the ground at an angle of 45° above the horizontal with a speed of $10\sqrt{2}\text{m}/\text{s}$. Assume the origin is at the foot of the cliff.