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A body is thrown at an angle 30^(@) to t...

A body is thrown at an angle `30^(@)` to the horizontal with the velocity of `30m//` After 1 sec. its velocity will be ("in"m//s) `(g=10 m//s^(2))`

A

`10 sqrt(7)`

B

`700 sqrt(10)`

C

`100 sqrt(7)`

D

`sqrt(10)`

Text Solution

Verified by Experts

Horizontal component of velocity
`v_(x)=u_(x)=u cos theta = 30 xx cos 30^(@) = 15 sqrt(3) m//s`
Vertical component of the velocity
`V_y= u sin theta - "gt "=30`
`v_(y)=u sin theta - gt = 30`
`sin 30^(2) - 10 xx 1=5 m//s`
`v_(2)v_(x)^(2)+v_(y)^(2)= 700 rArr u= 10 sqrt(7) m//s`
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