1.

An aeroplane is flying at a height of 2000 m above the ground horizontally with a uniform speed of 720 km/h. At what angle of sight (w.r. to the horizontal) should the pilot drop a bomb so as to hit target on the ground ?

Answer»

26°.57
30°.2
41°.3
20°.41

Solution :Here horizontal speed of the aeroplane = `720xx5/18`
`200ms^(-1)`
Height h = 2000 m
Now LET X be the horizontal distance, then
`h=0+1/2g t^(2)`
or, `2000=1/2xx10t^(2)`
`t=20sec`
x = ut = `200 xx 20`Now `tantheta=h/x=2000/4000`
`=1/2`
or `theta=tan^(-1)0.5=26^@57.`


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