Please help solve the following problems and show your work. Thanks!

1)A baseball player throws a baseball at a velocity (v₀ )of 139 feet per second at an angle of 20 degree ( ). The ball leaves the player's hand at a height of 5 feet. The path of the ball has parametric equations x = v₀t cos and y = h + v₀t sin -16t² . Write the parametric equations that describe the motion of the ball as a function of time. How long does it take for the ball to hit the ground? When is the ball at its maximum height? What is the maximum height of the ball?

2)The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 36 feet and the height of the arch over the center of the roadway is 13 feet. Two trucks plan to use this road, one at a time. They are both 12 feet wide. Truck 1 has an overall height of 12 feet and truck 2 has an overall height of 12 feet 9 inches. Draw a rough sketch of the simulation and determine which truck(s) can pass under the bridge.

3) Find a set of parametric equations for the hyperbola with

Vertices (3, 0) and (-3, 0)

Foci (5, 0) and (-5, 0)