1.

A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x-direction with a constant speed. The position of the first body is given by X_(1) (r) after time t and that of the second body by x_(2) (r) after the same time interval. Which of the following graphs correctly describes (x_(1) - x_(2) ) as a function of time t?

Answer»




Solution :For 1st body, `x_(1)(t)=1/2at^(2)`
For SECOND body, `x_(2)=v_(2)t`
`:.x_(2)=1/2at^(2)-VT`
When `vt>1/2at^(2)` then `x_(1)-x_(2)` is -ve and when
`1/2at^(2)>vt` then `x_(1)-x_(2)` Is +ve.


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