In a jump serve in volleyball, the server throws the ball into the air and strikes it with his open hand from a position 9 m behind the net. An athletic player may be able to hit it when the bottom of the ball is 3 m above the ground. Without aerodynamic effects, a horizontally hit serve will never work—it will go into the net or go too far and out of bounds. How much time does it take for the ball to fall to the height of the top of the net (which is 2.41 m above the floor)? Also, calculate the minimum launch speed for the ball to make it over the net. Round the final answer to two decimal places. What is the range of the ball struck horizontally at this speed? Round the final answer to one decimal place. Do you think that putting topspin on the serve might improve the serve?

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In a jump serve in volleyball, the server throws the ball into the air and strikes it with his open hand from a position 9 m behind the net. An athletic player may be able to hit it when the bottom of the ball is 3 m above the ground. Without aerodynamic effects, a horizontally hit serve will never work—it will go into the net or go too far and out of bounds.

How much time does it take for the ball to fall to the height of the top of the net (which is 2.41 m above the floor)? Also, calculate the minimum launch speed for the ball to make it over the net. Round the final answer to two decimal places.

What is the range of the ball struck horizontally at this speed? Round the final answer to one decimal place.

Do you think that putting topspin on the serve might improve the serve?

The “sky serve” is intended to land on the opponent’s side at a nearly straight-down trajectory. If this serve were a sky serve, launched at the same speed, but at the nearly vertical angle of 85°, would it land in bounds on the opponent’s side of the net?

 
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