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Question

A particle moves along a parabolic path y=9x2+6x in such a way that the x- component of velocity remains constant and has a value 13 m/s, then the y-component of velocity of the particle at t=1 s is  


Your Answer
A
13 m/s
Your Answer
B
3 m/s
Your Answer
C
23 m/s
Correct Answer
D
0 m/s

Solution

The correct option is D 0 m/s
dydt=18xdxdt+6dxdt

x=v.t=13t,dxdt=vx=13m/sdydt=18xdxdt+6×13=1813(13t)+2vy=dydt=2t+2

At, t=1 s
vy=2×1+2=0 m/s

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