InterviewSolution
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InterviewSolution
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The displacement (x) of a particle depends on time t as `x=alpha t^(2)-beta t^(3)`. Choose the incorrect statements from the following.A. The particle never returns to its starting pointB. The particle comes to rest after time `(2alpha)/(3beta)`C. The initial velocity of the particle is zeroD. The initial acceleration of the particle is zero |
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Answer» Correct Answer - D x= 0 at t = 0 and `t = alpha//beta`. So, the particle returns to starting point at `t=alpha//beta`. `upsilon=(dx)/(dt)=2alpha t-3beta t^(2)` At t = 0, `upsilon = 0` i.e., initial velocity of particle is zero. `upsilon=0` at t = 0 and `t=(2alpha)/(3beta)` Thus, the particle comes to rest after time `t=2alpha//3beta rArr a=(d upsilon)/(dt)=2alpha-6beta t` At `t=0, a=2, a ne 0` |
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