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The ceiling of a long hall is 25 m high....

The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of `40 m//s` can go without hitting the ceilling of the hall ? (g = `10 m//s^(2)`)

Text Solution

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Here, H = 20 m, u = 40 `ms^(-1)`. Suppose the ball is thrown at an angle `theta` with the horizontal.
Now, `H=(u^(2)sin^(2)theta)/(2g) rArr 20 = ((40)^(2) sin^(2)theta)/(2 xx 10)`
or, `sin theta = 0.5` or, `theta = 30^(@)`
Now, `R=(u^(2)sin 2theta)/g =((40)^(2) xx sin 120^(@))/10`
`=((40)^(3) xx 0.866)/10 = 138.56` cm
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