1)Express the magnitude of the ball’s initial horizontal velocity component, v0,x, in terms of v0 and θ. 2Express the magnitude of the ball’s initial vertical velocity component, v0,y, in terms of v0 and θ. 3)Find the ball’s maximum vertical height, hmaxℎmax, in meters, above the ground. 4)Enter an expression in terms of v0, θ, and g for the time it takes the ball to travel to its maximum vertical height. 5)Calculate the horizontal distance, xmax, in meters, that the ball has traveled when it returns to ground level.
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=50.7m/s at an angle θ=40.5∘ above the horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Ignore air resistance throughout this problem.
1)Express the magnitude of the ball’s initial horizontal velocity component, v0,x, in terms of v0 and θ.
2Express the magnitude of the ball’s initial vertical velocity component, v0,y, in terms of v0 and θ.
3)Find the ball’s maximum vertical height, hmaxℎmax, in meters, above the ground.
4)Enter an expression in terms of v0, θ, and g for the time it takes the ball to travel to its maximum vertical height.
5)Calculate the horizontal distance, xmax, in meters, that the ball has traveled when it returns to ground level.
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