Q.

A body is projected horizontally from a point above the ground and motion of the body is described by the equation x=2t,y=5t2 where x, and y are horizontal and vertical coordinates in metre after time t. The initial velocity of the body will be

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a

29m/s horizontal

b

5m/s horizontal

c

2m/s vertical

d

2m/s horizontal

answer is D.

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Detailed Solution

The horizontal velocity of the projectile remains constant throughout the journey. Since the body is projected horizontally, the initial velocity will be same as the horizontal velocity at any point. Since, x=2t,dxdt=2 ∴ Horizontal velocity =2m/s∴ Initial velocity =2m/s
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