Physics Force & Motion UHS 2024
PMDC Verified Question 12 of 137
In velocity time graph the area under graph is equal to the:
A
Speed of an object
B
Velocity of an object
C
Distance covered by object
D
Acceleration of an object
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: Distance covered by object
Concept:

Geometric interpretation of integral calculus on kinematic graphs.

Formula:

$$ \text{Area} = \int v \, dt = d $$

Solution:

  • The area under any curve is calculated by multiplying the y-axis variable by the x-axis variable.


  • Velocity (m/s) multiplied by time (s) yields meters.


  • Meters strictly denote a spatial metric: Displacement (or total Distance covered, depending on sign conventions).


Why other options are incorrect:

Acceleration is the slope. Velocity is the actual y-value of the line. Speed is scalar velocity.

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