An outfielder throws a ball at $120$ ft/s at an angle $40°$ with the horizontal. Assume that his arm is $7$ feet above the ground when he releases the throw. (Assume no air resistance.)

1. Find the parametric equations for the ball.

   Hint (a):

   Review the Math Notes box in Lesson 10.2.3 titled Projectile Motion.

2. How far does the ball travel before it hits the ground?

   Hint 1(b):

   First, determine the amount of time it takes for the ball to hit the ground. This occurs when $y\left(t\right) = 0$.

   Hint 2(b):

   Once you have determined when $y\left(t\right) = 0$, substitute this $t$-value into $x\left(t\right)$ to determine the horizontal distance the ball has traveled.