Question

How will you find the magnitude of velocity from the displacement-time graph of an object?

Answer 1

Velocity and displacement:

1. The velocity of a body is defined as the displacement in a given time interval. It is a scalar quantity.
2. Displacement is measured as the shortest distance from the initial position to the final position. It is a vector quantity.

Finding the magnitude of velocity from the displacement-time graph:

1. The displacement time graph is shown:

1. The Slope of displacement - time graph will give the magnitude of velocity.
2. From figure Slope $=\frac{d_2-d_1}{t_2-t_1}=\overrightarrow{v}=\frac{d\overrightarrow{s}}{dt}$
3. By taking the magnitude of the slop we get the magnitude of velocity. The magnitude of velocity is speed.