as 5:34 e 93 02:44:26 0 = < PHYSICS CHEMIST > 2-12 +4. -1 01:14 O : The displacement-time graphs of two moving particles make angles of 30 and 45 with the x-axis. The ratio of their velocities is Displacement 45 30 Time
Answers
Given info : The displacement-time graphs of two moving particles make angles of 30° and 45° with the x-axis.
To find : the ratio of their velocities is ...
solution : we know, velocity is the rate of change of displacement with respect to time.
it means, velocity is the slope of displacement - time graph.
and we know, slope is the tangent of angle made by curve with positive x - axis. i.e., tanα, where α is angle made by curve with positive x- axis.
now ratio of their velocities = ratio of their slopes = tanα₁/tanα₂
= tan30°/tan45°
= (1/√3)/1
= 1/√3
Therefore the ratio of their velocities is 1 : √3.
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