The displacement-time graphs of two bodies P and Q
are straight lines making angles 30° and 60° respec-
tively with the time axis. Calculate the ratio of the
velocities of P and Q.
Answers
Answer:
On a displacement time graph, 2 straight lines make angles 30 and 60 degrees with the time axis. What is the ratio of velocities represented by them?
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I would explain this from the very basics of kinematics.
For a line, slope= (change in y coordinates)/(change in x coordinates)
In displacement time graph, displacement is on Y axis and time on X axis.
Velocity = displacement / time
From both the equation, it can be inferred that in a displacement time graph, slope of the line represents velocity.
Since, slope = tan theta;
Thus V1 / V2 = tan 30 / tan 60 = 1 / √3.
Since the order of ratio is not defined, hence the answer can be either √3 or 1 / √3.