The displacement-time graphs of two moving particles make angles of...

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:

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

Options

A $1: 1$
B $1: 2$
C $1: \sqrt{3}$
D $\sqrt{3}: 1$

Correct answer

C. $1: \sqrt{3}$

Step-by-step solution

Slope of displacement-time graph is velocity.

\dfrac{{v}_{1}}{{v}_{2}} = \dfrac{\tan \left({\theta}_{1}\right)}{\tan \left({\theta}_{2}\right)} = \dfrac{\tan \left(30 °\right)}{\tan \left(45 °\right)} = \dfrac{1}{\sqrt{3}}

⇒ {v}_{1}: {v}_{2} = 1: \sqrt{3}

Practice Motion in One Dimension on Quantrex Academy →

More from Motion in One Dimension

A vehicle runs on a straight road of length 'L'. It travels half the distance with speed… MHT CET Medical 2026 For uniform acceleration in linear motion which of the following is NOT CORRECT ? MHT CET Medical 2026 Two cars, P and Q move toward each other, getting 8\ m closer every second. If they move… MHT CET Medical 2026 A block is kept on the floor of an elevator at rest. The elevator starts descending with… MHT CET Medical 2026 The acceleration (a ) -time (t ) graph for the body starting from rest is as shown in the… MHT CET Medical 2026 A train accelerates from rest at a constant rate 'p' for some time (attains velocity 'v')… MHT CET Medical 2026 The following plots show variation of velocity ( v ) with time ( t ), of a ball thrown… NEET 2026 Consider a particle moving along a straight line, whose position as a function of time is… NEET 2026 Full Motion in One Dimension list All NEET PYQs