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https://texercises.com/exercise/tennis-player/
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Exercise:
At serve a tennis player aims to hit the ball horizontally. abcliste abc What minimum speed is required for the ball to clear to .m net about .m from the server if the ball is ``launched'' from a height of .m? abc Where will the ball land if it just clears the net and will it be ``good'' in the sense that it lands within .m of the net? abc How long will it be in the air? abcliste

Solution:
newqtyhe.m newqtyxe.m newqtyyz.m % abclist abc The ball must not fall more than solqtyyey_ - h_yzn-henm al y_ yef yz - he ye when reaching the net. This takes solqtytesqrtfracy_gsqrt*yen/gMns al t_ tef sqrtfrac yegM te. If the net is about xe from the server the initial velocity must be solqtyvofracx_t_xen/ten al v_ vof fracxete  vo voTT. abc It takes the ball solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tz until he lands. In this time it travels solqtyxzv_ t_von*tznm al x_ xzf vo tz xz in horizontal direction. Therefore it lands solqtystx_-x_xzn-xenm al s stf xz - xe st stTT from the net i.e. it is ``good''. abc This is already answered in the previous part. The ball is solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tzTT in the air. abclist
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Exercise:
At serve a tennis player aims to hit the ball horizontally. abcliste abc What minimum speed is required for the ball to clear to .m net about .m from the server if the ball is ``launched'' from a height of .m? abc Where will the ball land if it just clears the net and will it be ``good'' in the sense that it lands within .m of the net? abc How long will it be in the air? abcliste

Solution:
newqtyhe.m newqtyxe.m newqtyyz.m % abclist abc The ball must not fall more than solqtyyey_ - h_yzn-henm al y_ yef yz - he ye when reaching the net. This takes solqtytesqrtfracy_gsqrt*yen/gMns al t_ tef sqrtfrac yegM te. If the net is about xe from the server the initial velocity must be solqtyvofracx_t_xen/ten al v_ vof fracxete  vo voTT. abc It takes the ball solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tz until he lands. In this time it travels solqtyxzv_ t_von*tznm al x_ xzf vo tz xz in horizontal direction. Therefore it lands solqtystx_-x_xzn-xenm al s stf xz - xe st stTT from the net i.e. it is ``good''. abc This is already answered in the previous part. The ball is solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tzTT in the air. abclist
Contained in these collections:

Attributes & Decorations
Branches
Kinematics
Tags
fall, free, horizontal, kinematics, mechanics, physics, tennis, throw
Content image
Difficulty
(4, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link