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A particle id moving in xy - plane with ...

A particle id moving in xy - plane with `y = x//2 and v_x = 4 - 2t`. Choose the correct options.

A

Initial velocities in x and y directions are negative.

B

Initial velocities in x and y directions are positive.

C

Motion is first retarded, then accelerated.

D

Motion is first accelerated, then retarded.

Text Solution

Verified by Experts

The correct Answer is:
B, C
(b.,c.) `y = (x)/(2)` implies that the particle is moving in a straight line passing through the origin.
`v_x = 4 - 2t, v_x = u_x + a_x t`,
`u_x = 4, a_x = -2`
Now, `y = (x)/(2) rArr (dy)/(dt) = (1)/(2) (dx)/(dt)`
`v_y = (1)/(2) v_x = 2 - t,v_y = u_y + a_y t`,
`u_y = 2 and a_y = -1`.
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