Question Detail

PHY 101 Kinematics in One Dimension Objective Question

Question

The slope of a velocity-time (v-t) graph at any instant represents the object's
Options
A position.
B displacement.
C velocity.
D acceleration.
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Acceleration is defined as the rate of change of velocity. On a velocity-time graph, the slope (rise/run) is Δv/Δt. The instantaneous slope is dv/dt, which is exactly the definition of instantaneous acceleration.

Hint

The graph shows how velocity changes over time. The steepness of that change tells you how quickly the velocity is changing.

Question Info