Question

The slope of displacement-time graph gives:

• A. Distance
• B. Velocity
• C. Acceleration
• D. Deceleration

Answer 1

The correct option is B Velocity

The slope of a graph is equal to the ratio of change in y-axis to the change in x-axis.
$m=\frac{y_2-y_1}{x_2-x_1}$

For displacement-time graph, slope is:
$m=\frac{s_2-s_1}{t_2-t_1}$

Converting the above equation to words, we get, slope of displacement-time graph is equal to the ratio of change in displacement to change in time. But, this is also the definition of velocity. So, the slope of displacement-time graph is equal to velocity.