During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial velocity v0 = 26 m/s at an angle θ = 17° above horizontal. Let the origin of the Cartesian coordinate system be the ballʼs position at impact. Air resistance may be ignored throughout this problem.

a) express the magnitude of the ball's initial horizontal velocity, v0x, in terms of v0 and theta.

b) express the magnitude of the ball's inital vertical velocity, v0y, in terms of v0 and theta.

c) find the ball's maximum vertical height, hmax, in meters above ground.

d) create an expression in terms of v0, theta, and g for the time (tmax) it takes the ball to travel to its maximum vertical height.

e) calculate the horizontal distance, xmax, in meters the ball has traveled when it returns to ground level.