A soccer ball is kicked from ground level across a level soccer field with initial velocity vector v0 = 11 m/s at θ = 17° above horizontal. The soccer ball feels wind resistance which causes it to slow horizontally with constant acceleration magnitude ax = 0.62 m/s2, while leaving its vertical motion unchanged. Assume any other air resistance is negligible. Choose the positive direction of x from initial point towards final point of flight. Use a Cartesian coordinate system with the origin at the ball's initial position. The ball travels through the air until it returns to the soccer field. Calculate the ball’s time of flight, tf in seconds.
A soccer ball is kicked from ground level across a level soccer field with initial velocity vector v0 = 11 m/s at θ = 17° above horizontal. The soccer ball feels wind resistance which causes it to slow horizontally with constant acceleration magnitude ax = 0.62 m/s2, while leaving its vertical motion unchanged. Assume any other air resistance is negligible. Choose the positive direction of x from initial point towards final point of flight. Use a Cartesian coordinate system with the origin at the ball's initial position.
The ball travels through the air until it returns to the soccer field. Calculate the ball’s time of flight, tf in seconds.
tf =
Calculate the horizontal distance, xmax in meters, the ball travels before it returns to the soccer field.
xmax =
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