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^@` and it'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 ?

Options

A. yes
B. no
C. will touch the fence
D. none if these

Answer

A

Explanation

`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.