Home
Class 12
PHYSICS
The displacement of a particle moving in...

The displacement of a particle moving in a straight line Is given by the expression `x = At^(3) + Bt^(2) + Ct + D`meters, where t is in seconds and A, B, C and D are constants. The ratio between the initial acceleration and initial velocity is

A

(a) `2C/(B)`

B

(b) `2B/(C)`

C

( c ) `2C`

D

(d) `C/(2B)`

Text Solution

Verified by Experts

The correct Answer is:
(b)
`x = At^(3) + Bt^(2) + Ct + D`
Velocity, `V=dx/(dt)= 3At^(2) +2Bt + C`
At t = 0,`V_(I"nitial") = C`
Acceleration,`a = d^(2)x/dt^(2)= 6At + 2B`
At t = 0, `a_("initial") = 2B` `a_("initial")/(V_("initial")) = 2B/(C)`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 2

    SIA PUBLICATION|Exercise Chemistry|1 Videos

  • NUCLEAR PHYSICS

    SIA PUBLICATION|Exercise MCQ|44 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle moving in a straight line is given by the expression x=At^(3)+Bt^(2)+Ct+D in metres, where t is in seconds and A,B,C and D are constant. The ratio between the initial acceleration and initial velocity is

The displacement of a particle moving in a straight line is given by x=2t^2+t+5 where x is expressed in metre and t in second. The acceleration at t = 2 s is

The motion of a particle along a straight line is described by the function x = (2t-3)^(2) where x is in metres and t is in seconds . The acceleration of the particle at =2s is

If the particle is moving along a straight line given by the relation x=2-3t +4t^3 where s is in cms., and t in sec. Its average velocity during the third sec is

The displacement x of a particle moving in one direction is given by t=sqrtx +3 , where x in meter and t in sec. What is its displacement when its velocity is zero