Aprojectile is fired from ground level at time t = 0, at an angle \theta with respect to the horizontal. it has an initial speed v_{0}. in this problem, we are assuming that the ground is level.

part a. find the time t_{h} it takes the projectile to reach its maximum height. express t_{h} in terms of v_{0}, \theta, and g (the magnitude of the acceleration due to gravity).

part b. find t_{r}, the time at which the projectile hits the ground. express the time in terms of v_{0}, \theta, and g.

part c. find h, the maximum height attained by the projectile. express the maximum height in terms of v_{0}, \theta, and g.

part d. find the total distance r (often called the range) traveled in the x-direction; in other words, find where the projectile lands. express the range in terms of v_{o}, \theta, and g.