Question

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 = 

          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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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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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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Transcript

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00:01 Hello, a thicker ball is kicked with an initial speed of 11 meters per second and this velocity makes an angle of 17 degree above the horizon.
00:16 There is horizontal acceleration which is 0 .62 meters per square second and that is directed as shown here.
00:29 And g acceleration due to the gravity is downwards.
00:37 Here first we have to determine time of the flight so time of the flight can be found as following that is time needed to go up plus time needed to go down and here time needed to go up equals to time needed to go down which is v0 sine teta over g then this time of the flight is twice v0 sine teta over g let's calculate it that is 0...
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