1.

The ceiling of a long hall is `20 m` high. What is the maximum horizontal distance that a ball thrown with a speed of `40 m` can go without hitting the ceiling of hall `(g=10 ms^(-2))` ?

Answer» : Here, `H=20m,u=40ms^(-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)/2xx10`
or, `sintheta=0.5 rArr theta = 30^(@)`
Now, `R=(u^(2)sin 2theta)/g= (40^(2)sin 60^(@))/10`
`= ((40)^(2)xx0.866)/10=138.56m`


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