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Question

A particle is projected from a horizontal plane (x-y plane) such that its velocity vector at time t is given by V=a^i+(bct)^j. Its range on the horizontal plane is given by

A
bac
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B
2abc
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C
3bac
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D
ba2c
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Solution

The correct option is B 2abc
Given, the velocity of projection as
V=a^i+(bct)^j.......(i)
Or, V=Vx^i+Vy^j
And we know that Vx=ux and Vy=uygt
V=ux^i+(uygt)^j......(ii)
Comparing (i) & (ii) we have
ux=a, uy=b and g=c
Range is given by, R=2uxuyg=2abc

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