**a)**

Using the kinematic equation:

$\overline{){{\mathbf{v}}}_{{\mathbf{f}}}{\mathbf{=}}{{\mathbf{v}}}_{{\mathbf{0}}}{\mathbf{+}}{\mathbf{a}}{\mathbf{t}}}$

v_{fy} = 0, v_{0y} = v_{0} sin θ, and a = -g

a) Find the time that it takes the projectile to reach its maximum height H. Express the answer in terms of v_{0}, theta, and g (the magnitude of the acceleration due to gravity).

b) Find t_{R}, the time at which the projectile hits the ground after having traveled through a horizontal distance R. Express the time in terms of v_{0}, theta, and g.

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