The displacement-time graphs of two moving particles make angles of $30 °$ and $45 °$ with the $x$ -axis as shown in the figure. The ratio of their respective velocity is:

Question

The displacement-time graphs of two moving particles make angles of 30 ° and 45 ° with the x -axis as shown in the figure. The ratio of their respective velocity is:

Aicharya · Accepted Answer

Slope of displacement-time graph is velocity. v 1 v 2 = tan θ 1 tan θ 2 = tan 30 ° tan 45 ° = 1 3 ⇒ v 1 : v 2 = 1 : 3

The displacement-time graphs of two moving particles make angles of 30 ° and 45 ° with the x -axis as shown…

Solution