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A ball is thrown vertically upwards with...

A ball is thrown vertically upwards with a velocity of `20 m s^(-1)` from the top of a multistore building of 25 m high. How high will the ball rise? (Take g = `10 m s^(-2)`)

Text Solution

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(i) `" "v^(2) -u^(2) =2as `
` (##VMC_PHY_XI_WOR_BOK_01_C02_E01_021_S01.png" width="80%">
`rArr " "0- 400 =2(-10 ) S `
` rArr S= 20m ` from the top of tower
(ii) ` S = ut +(1)/(2) at^(2) " "rArr " " - 40 =20t -(1)/(2) (10 )t^(2)`
` rArr " "- 8 =4t -t^(2) " "rArr " "t^(2) -4t -8=0`
` " "rArr " " t=2+-2sqrt 3 " "or " " t= 2+2sqrt3 =2+2(.73) =5 A 6 sec`
(iii) ` V^(2) -u^(2) =2as`
`rArr " "V^(2) =400 =2 ( -10 ) (-40 ) " "rArr " "V^(2) =400+800 =(200)rArr V= 20 sqrt(3) =34.6m//s`
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