Question

1. the area under a velocity - time graph always represents

a. change in acceleration
b. acceleration
c. change in velocity
d. distance
e. displacement

Explanation:

The area under a velocity - time graph represents displacement. Velocity is the rate of change of displacement with respect to time. When we integrate velocity over time (which geometrically is finding the area under the curve), we get displacement. Distance is the total path length and is different from displacement in non - straight line or non - one - dimensional motion. Change in velocity is acceleration, and acceleration is the rate of change of acceleration.

Answer:

e. displacement