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Question

An object is thrown horizontally from a point 'A' from a tower and hits the ground 3s later at B. The line from 'A' to 'B' makes an angle of 30 with the horizontal. The intial velocity of the object is :
(take g = 10 m/s2)
292907_9f1cd9d13a6140ad88c48cc94f3c0017.png

A
153m/s
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B
15m/s
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C
103m/s
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D
253m/s
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Solution

The correct option is A 153m/s
Object takes 3s to fall.
Hence AC = height =12gt2=12×10×9=45m
Also:
tan30=ACBC=13
BC=3AC=453m
The object covers AB in 3s, hence initial velocity =BC3=153ms1

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