Problem 4: 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 = 47.7 m/s at an angle 6 = 44.5\" above the horizontal. Let the origin of the Cartesian coordinate x '~ , system be the ball's position the instant it leaves the bat. Ignore air resistance ,r a. throughout this problem. Part (a) Express the magnitude of the ball's initial horizontal velocity component, 120;, in terms of v0 and. 6. Expression V0,): 2 Select from the variables below to write your expression. Note that all variables may not be required. 605(u), WSW), 608(0), sin(u). sinUP), sin(0), a, B, 0, d. g, h, m, t, v0 Part (b) Express the magnitude of the ball's initial ver1ical velocity component, my, in terms of v0 and 6. Expression V0,y = Select from the variables below to write your expression. Note that all variables may not be required. 60501). 608W), 608(0), sin(II). sinw), sir-(). u, I}, 0, d. g, h, m, t. m Part (c) Find the hall's maximum vertical height, hmax, in meters, above the ground. Numeric : A numeric value is expected and not an expression. hmax Part (cl) Enter an expression in terms of 120, 0, and g for the time it takes the ball to travel to its maximum vertical height. Expression t apex : Select from the variables below to write your expression. Note that all variables may not be required. c0501), cos(q)), cos(0), sin(u), sin(q)), sin(), a, B, 0, d, g, h, m, t, v0 Part (e) Calculate the horizontal distance, xmax, in meters, that the ball has traveled when it returns to ground level. Numeric : A numeric value is expected and not an expression. xmax