Question

A ball leaves the track at `B` which is at `3m` height from bottom most point of the track. The ball further rises upto `4m` height from the bottom most point before falling down. Find `h` (in `m`), if the track at `B` makes an angle `30^@` with horizontal.
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Answer 1

Correct Answer - `7`
`h_(0)=3+(u_(B)^(2) sin^(2)theta)/(2g)=3+(2g(h-h_(B))sin^(2)30^@)/(2g)`
`4(given)=3+h sin^(2) 30^@ -h_(B) sin^(2) 30^@`
=`3+(h)/(4)-(3)/(4) ,(7)/(4)=(h)/(4) rArr h = 7 m`.