During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed v0 = 33 m/s at an angle θ = 42° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem.

a. Express the magnitude of the ball's initial horizontal velocity Vox in terms of vo and θ.
b. Express the magnitude of the ball's initial vertical velocity Voy in terms of vo and θ.
c. Find the ball's maximum vertical height hmax in meters above the ground.
d. Create an expression in terms of vo, θ, and g for the time tmax. it takes the ball to travel to its maximum vertical height.