The displacement-time graph for two particles A and B are straight lines inclined at angles of $3 0^{o}$ and $6 0^{o}$ with the time axis. The ratio of their velocities is

Question

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Answer 1

Solution:

The displacement-time graph for two particles A and B are straight lines inclined at angles of

$3 0^{o}$ and

$6 0^{o}$ with the time axis. The ratio of their velocities is

$1 : 3$ . Let

$v_{A}$ and

$v_{B}$ be the velocity of particles A and B respectively. So

$v_{A} : v_{B} = {Slope}_{A} : {Slope}_{B}$ Also,

${Slope}_{A} : {Slope}_{B} = \tan 30 ° : \tan 60$

${= > v}_{A} : v_{B} = \tan 30 ° : \tan 60 °$

${= > v}_{A} : v_{B} = \frac{1}{\sqrt{3}} : \sqrt{3}$

${= > v}_{A} : v_{B} = 1 : 3$

Also Check

Displacement Formula
Average Velocity Formula

The displacement-time graph for two particles A and B are straight lines inclined at angles of $3 0^{o}$ and $6 0^{o}$ with the time axis. The ratio of their velocities is

Solution:

Also Check

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