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Question

# A body is projected horizontally with a speed V0. Find the velocity of the body when It covers equal distances in horizontal and vertical directions.

A
v=2v0
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B
v=5v0
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C
v=v0/2
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D
v=3v0
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Solution

## The correct option is B v=√5v0Lets consider, vx=v0= horizontal speed,The horizontal distance covered by a body in time t isR=v0tThe vertical distance covered in time t isH=12gt2According to question,H=R12gt2=v0tt=2v0gVertical velocity of a body,vy=gt=g×2v0gvy=2v0The resultant velocity, v=√v2x+v2yv=√v20+4v20v=√5v0The correct option is B.

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