The displacement-time graphs of two moving particles make angles of 30° and 45° with the x -axis. The ratio of the two velocities is

Question

The displacement-time graphs of two moving particles make angles of 30° and 45° with the x -axis. The ratio of the two velocities is (A) √3: 1 (B) 1: 1 (C) 1: 2 (D) 1: √3

Tardigrade Admin · Accepted Answer

The slope of the line in displacement-time graph is the velocity. Slope = tan θ Here, (v1/v2)=( tan 30°/ tan 45°)=(1/√3).

Q. The displacement-time graphs of two moving particles make angles of $3 0^{\circ}$ and $4 5^{\circ}$ with the $x$ -axis. The ratio of the two velocities is

$3 : 1$

$1 : 1$

$1 : 2$

$1 : 3$

The slope of the line in displacement-time graph is the velocity.
Slope $= tan θ$
Here, $\frac{v _{1}}{v _{2}} = \frac{t a n 3 0 ^{\circ}}{t a n 4 5 ^{\circ}} = \frac{1}{3}$ .

Q. The displacement-time graphs of two moving particles make angles of 30∘ and 45∘ with the x -axis. The ratio of the two velocities is

3​:1

1:1

1:2

1:3​