Question

You serve a tennis ball from a height of 2.03 m above the ground. The ball leaves your racket with a speed of 21.1 m/s at an angle of 6.65° above the horizontal. The horizontal distance from the court's baseline to the net is 11.83 m, and the net is 1.07 m high. Neglect spin imparted on the ball as well as air resistance effects. Does the ball clear the net (= positive answer)? If yes, by how much? If not, by how much did it miss? In that case, the answer will be negative. (in cm)

Name: you serve a tennis ball from a height of 203 m above the ground the ball leaves your racket with a speed of 211 ms at an angle of 665 above the horizontal the horizontal distance from the co 13182
Uploaded: 2022-07-22T16:12:53-08:00
Duration: 5 min 16 s
Channel: Ivan Kochetkov
Description: you serve a tennis ball from a height of 203 m above the ground the ball leaves your racket with a speed of 211 ms at an angle of 665 above the horizontal the horizontal distance from the co 13182

          You serve a tennis ball from a height of 2.03 m above the ground. The ball leaves your racket with a speed of 21.1 m/s at an angle of 6.65° above the horizontal. The horizontal distance from the court's baseline to the net is 11.83 m, and the net is 1.07 m high. Neglect spin imparted on the ball as well as air resistance effects. Does the ball clear the net (= positive answer)? If yes, by how much? If not, by how much did it miss? In that case, the answer will be negative.
(in cm)

Added by Kayla G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

07/22/2022

Step 1

The initial speed of the ball is 21.1 m/s, and it is launched at an angle of 6.65° above the horizontal. We need to find the horizontal (v_x) and vertical (v_y) components of this velocity: \[ v_x = v \cos(\theta) = 21.1 \cos(6.65^\circ) \] \[ v_y = v \sin(\theta) Show more…

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You serve a tennis ball from a height of 2.03 m above the ground. The ball leaves your racket with a speed of 21.1 m/s at an angle of 6.65° above the horizontal. The horizontal distance from the court's baseline to the net is 11.83 m, and the net is 1.07 m high. Neglect spin imparted on the ball as well as air resistance effects. Does the ball clear the net (= positive answer)? If yes, by how much? If not, by how much did it miss? In that case, the answer will be negative. (in cm)