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Initial velocity with which a body is pr...

Initial velocity with which a body is projected is 10 m/sec and angle of projection is `60^@`, find the range R

A

`(15sqrt3m)/2`

B

`40/3` m

C

`5sqrt3` m

D

`20/3` m

Text Solution

Verified by Experts

The correct Answer is:
D
`t=(2u sin 30^@)/(g cos 30^@) =(2(10)(1//2))/(10(sqrt3//2))=2/sqrt3` sec
`R=10 cos 30^@ t-1/2 g sin 30^@ t^2`
`=(10sqrt3)/2(2/sqrt3)-1/2 (10)(1/2)(4/3)=10-10/3 =20/3` m
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