Question

2. From the given x-t graph of two bodies A and B, find the ratio of their velocities, at any instant (Graph is needed) (1 marks) physics

Answer 1

the ratio of the velocities of body A and body B, at any instant is 1 : 3

Explanation:

The graph is attached

We know that in a displacement time graph, the slope of the displacement-time curve at any instant gives the instantaneous velocity

Since the curves are straight lines therefore, they will have constant slope throughout

Thus, at any instant velocity will be constant

Velocity of body A at any instant = Slope of line OA

$\implies v_A=\tan 30^\circ$

$\implies v_A=1/\sqrt{3}$

Similarly,

Velocity of body A at any instant = Slope of line OB

$\implies v_B=\tan 60^\circ$

$\implies v_A=\sqrt{3}$

$\frac{v_A}{v_B}=\frac{1/\sqrt{3}}{\sqrt{3}}$

$\implies \frac{v_A}{v_B}=\frac{1}{3}$

$\implies v_A:v_B=1:3$

Hope this answer is helpful.

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