Question

Slope of the velocity - time graph gives

• A. Speed
• B. Displacement
• C. Distance
• D. Acceleration

Answer 1

The correct option is D

Acceleration

Explanation for the correct option

1. An object's velocity changes as it moves between two points in a predetermined amount of time.
2. An object's acceleration is determined by the rate of change in velocity.
3. The slope of the velocity-time graph indicates the acceleration, when velocity is plotted along the y-axis and time along the x-axis.
   
4. The slope of the line on a velocity-time graph exposes important details regarding the object's acceleration, including:
   1. The slope is 0 if the acceleration is zero (i.e. a horizontal line).

b. The slope is positive if the acceleration is positive (i.e. an upward sloping line).

c. The slope is negative if the acceleration is negative (i.e. a downward sloping line) and is also known as retardation.

Explanation for incorrect options

Option(A): Speed is the rate of change of position of an object in any direction.

Option(B): Displacement is a vector quantity and is defined as change in the position of object.

Option(C): Distance is the length of the actual path travelled by the object irrespective of direction.

Thus options(A), (B) and (C) are incorrect.

Hence the correct option is option(D) i.e. Acceleration.