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=25.7m/s at an angle θ=20.5∘ 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. A) Express the magnitude of the ball’s initial horizontal velocity component, v0,x0,, in terms of v00 and θ. B) Express the magnitude of the ball’s initial vertical velocity component, v0,y0,, in terms of v00 and θ. C) Find the ball’s maximum vertical height, hmax in meters, above the ground. D) Enter an expression in terms of v0, θ, and g for the time it takes the ball to travel to its maximum vertical height. E) 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=25.7m/s at an angle θ=20.5∘ 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.
A) Express the magnitude of the ball’s initial horizontal velocity component, v0,x0,, in terms of v00 and θ.
B) Express the magnitude of the ball’s initial vertical velocity component, v0,y0,, in terms of v00 and θ.
C) Find the ball’s maximum vertical height, hmax in meters, above the ground.
D) Enter an expression in terms of v0, θ, and g for the time it takes the ball to travel to its maximum vertical height.
E) Calculate the horizontal distance, xmax, in meters, that the ball has traveled when it returns to ground level.
Given:-
The initial speed of the ball is and angle 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.
Find:-
A) Express the magnitude of the ball’s initial horizontal velocity component.
B) Express the magnitude of the ball’s initial vertical velocity component.
C) Find the ball’s maximum vertical height, hmax in meters, above the ground.
D) Enter an expression in terms of v0, θ, and g for the time it takes the ball to travel to its maximum vertical height.
E) Calculate the horizontal distance, xmax, in meters, that the ball has traveled when it returns to ground level.
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