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https://texercises.com/exercise/landing-point-of-tennis-serve/
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Exercise:
A tennis player hits a ball horizontally during a serve from a height of hbO. The ball just barely clears the net height haO located sxO from the player. Where does the ball land and is the serve lq goodrq i.e. does it land within sxbO of the net?

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:
A tennis player hits a ball horizontally during a serve from a height of hbO. The ball just barely clears the net height haO located sxO from the player. Where does the ball land and is the serve lq goodrq i.e. does it land within sxbO of the net?

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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Attributes & Decorations
Branches
Kinematics
Tags
and, ball, bar, free, freier fall, hai, horizontal, kinematics, mechanics, minima, not, physics, tennis, throw, time, velocity
Content image
Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration