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A body is projected from the ground with...

A body is projected from the ground with a velocity `v = (3hati +10 hatj)ms^(-1)`. The maximum height attained and the range of the body respectively are (given `g = 10 ms^(-2))`

A

5 m and 6 m

B

3 m and 10 m

C

6 m and 5 m

D

3 m and 5 m

Text Solution

Verified by Experts

The correct Answer is:
A
Given: `vecv =(3hati + 10 hatj) ms^(-1)`
`therefore v_(g) = 3ms^(-1)` and `v_(y) = 10 ms^(-1)`
Maximum height, `H =v_(y)^(2)/(2g) = (10 ms^(-1))^(2)/(2 xx 10 ms^(-2)) = 5m`
Range, `R =v_(g) xx T_(f) = v_(x) xx (2v_(y))/g`
`=(2v_(x)v_(y))/g = (2 xx 3 ms^(-1) xx 10ms^(-1))/(10 ms^(-2)) = 6m`
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Knowledge Check

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