1.

The relation between time t and displacement x is `t = alpha x^2 + beta x,` where `alpha and beta` are constants. The retardation isA. `2 alpha v^3`B. `2 beta v^3`C. `2 alpha beta v^3`D. `2 beta^2 v^3`

Answer» Correct Answer - A
`(dt)/(dx)=(2 alphax+beta)`
`:. (dx)/(dt)=v=(1/(2 alphax+beta))`
`a=(dv)/(dt)=-2 alpha(1/(2 alphax+beta))^2.(dx)/(dt)`
`=-2alpha(v)^2(v)=-2 alpha(v)^3`


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