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A stone is projected from the ground wit...

A stone is projected from the ground with velocity `50(m)/(s)` at an angle of `30^@`. It crosses a wall after 3 sec. How far beyond the wall the stone will strike the ground `(g=10(m)/(sec^2)`?

A

90.2 m

B

89.6 m

C

86.6 m

D

70.2 m

Text Solution

Verified by Experts

The correct Answer is:
C
Total time of flight`=(2usintheta)/(g)=(2xx50xx1)/(2xx10)=5`s
Time to cross the wall `=3` sec (given)
Time in air after crossing the wall`=(5-3)=2`sec
Distance travelled beyond the wall`=(costheta)t=50xx(sqrt3)/(2)xx2=86.6`m
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