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Question

A particle of mass 2 kg moves with an initial velocity of (4^i+2^j)ms1 on the x-y plane. A force F=(2^i8^j) N acts on the particle. The initial position of the particle is (2 m,3 m). Then for y=3m,


A

Possible value of x is only x = 2 m

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B

Possible value of x is not only x=2 m, but there exists some other value of x also

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C

Time taken is 2 s

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D

All of the above

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Solution

The correct option is B

Possible value of x is not only x=2 m, but there exists some other value of x also


u=(4^i+2^j), a=Fm=^i4^j
Let at any time, the coordinates be (x,y).

x2=uxt+12axt2
x2=4t+12t2 and y3=2t124t2
y3=2t2t2
When y=3 m, t=0, 1 s; when t=0, x=2 m
When t=1 s, x=6.5 m


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