Question

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

Answer 1

Given:

The graph of displacement versus time.

To find:

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

Solution:

For A,

The slope = ds/dt = tan 30° = 1/√3

Similarly, for B,

The slope = ds/dt = tan 60° = √3

we know that,

The velocity is given by

v = ds/dt,

vA = 1/√3 and vB = √3

The ratio of their velocities, at any instant

= vA/vB

= (1/√3) / √3

= 1/3

∴ vA/vB = 1/3

Answer 2

Answer:

Given:

The graph of displacement versus time.

To find:

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

Solution:

For A,

The slope = ds/dt = tan 30° = 1/√3

Similarly, for B,

The slope = ds/dt = tan 60° = √3

we know that,

The velocity is given by

v = ds/dt,

vA = 1/√3 and vB = √3

The ratio of their velocities, at any instant

= vA/vB

= (1/√3) / √3

= 1/3

∴ vA/vB = 1/3