A golf ball, resting on a "tee" on the ground, is struck by a famous golfer, giving it an initial velocity

vec$(v{)}_0=v_{0,x}$hat$(i)+v_{0,y}$hat$(j)$

$=(17\mathrm{.}2\frac{m}{s})hat(i)+(16\mathrm{.}7\frac{m}{s})hat(j)$

Assume that the ball moves without air resistance. Describe its motion using a Cartesian coordinate system with its origin located at the ball's initial position. $$

Part $($a$)$

Determine the maximum height above the ground, $h_{\text{m}\text{a}\text{x}},$ in meters, attained by the golf ball.

$h_{\text{m}\text{a}\text{x}}=$

$$

$m$

Part $($b$)$

Express the total horizontal distance, $x_{\text{m}\text{a}\text{x}},$ the ball travels until it returns to ground level in terms of $v_{0,x},v_{0,y},$ and $g.$

Part $($c$)$

Evaluate the total horizontal distance, $x_{\text{m}\text{a}\text{x}},$ in meters, the ball travels until it returns to ground level.