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For a particle moving along a straight line, the displacement x depends on time t as x=at^3+bt^2+gt+d. The ratio of its initial acceleration to its initial velocity depends:(A) only on a and b(B) only on b and g(C) only on a and g(D) only on aExplain it in brief

For a particle moving along a straight line, the displacement x depends on time t as x=at^3+bt^2+gt+d. The ratio of its initial acceleration to its initial velocity depends:(A) only on a and b(B) only on b and g(C) only on a and g(D) only on aExplain it in brief

Grade:11

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
(B) option as,
dx/dt=v=3at2+2bt+g
initial velocity = g (t=0)
dv/dt=a= 6at+2b
initial acceleration = 2b
Ratio=2b/g
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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