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The displacement time graph for two part...

The displacement time graph for two particles `A and B` are straight lines inclined at `30^(@)` with time axis and at `30^(@)` to displacement axis respectively. Calcualte ratio of velocities of the two particles.

Text Solution

Verified by Experts

For particle `A`, `theta_(1) = 30^(@)`
`:. v_(1) = tan theta_(1) = tan 30^(@) = (1)/(sqrt(3))`
For particle `B`,
Angle with displacement axis `= 30^(@)`
Angle with time axis , `theta_(2) = 90^(@) - 30^(@) = 60^(@)`
`:. v_(2) = tan 60^(@) = sqrt(3)`
`(v_(1))/(v_(2)) = (1//sqrt(3))/(sqrt(3)) = (1)/(3)`.
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