1.

A batsman hits a pitched cricket ball at a height of 1.2 m above the ground so that it's angle of projection is 45^@ andit's horizontal range is 110m. The ball is lifted towards the left field line, where a fence of 7.5 m is located 100m from the position of batter. will the ball clear the fence ?

Answer»

yes
no
will touch the fence
NONE if these

Solution :`y = X tantheta - (gx^2)/(2u^2 cos ^2 THETA)`
x = 110m, y = 1.2m, `theta` = `45^@`
u = 32.66/s
Further
`y = 100tan45^@ - (9.8xx(100)^2)/(2.(32.66)^2 cos 45^@) = 8.13 m `
TOTAL height 8.13 + 1.2 = 9.33 m > 7.5.


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