Shown in the figure are the velocity time graphs of the two particles `P_1 and P_2` . Which of the following statements about their relative motion is true ? Theire relative velocity

Options

A. Is zero
B. Is non - zero but constant
C. Continuously decreases
D. Continuously increases

Answer

D

Explanation

Slope of u - 1 graph = acceleration
`u_(1) = a_(1)(t-t) = tan theta_(t) t - tan theta_(1)t_(0)`
`u_(2) = a_(2)(t-t_(0)) = tan theta_(2)t- tan theta_(2) t_(0)`
`u_(r)=v_(1)- v_(2)=(tan theta_(t)- tan theta_(2))t-t_(0)(tan theta_(1)- tan theta_(2))`
So `v_(r)` Continuously increases with time.