Physics Force & Motion SZABMU 2022
PMDC Verified Question 61 of 137
The gradient of velocity time is equal to:
A
Distance
B
Force
C
Acceleration
D
Speed
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: Acceleration
Concept:

The mathematical gradient (or slope) of a line on a Cartesian plane is the ratio of the change in the y-axis variable to the change in the x-axis variable.

Formula:

$$ \text{Gradient} = \frac{\Delta y}{\Delta x} = \frac{\Delta v}{\Delta t} $$

Solution:

  • In a velocity-time graph, the y-axis represents velocity (\( v \)) and the x-axis represents time (\( t \)).


  • The rate of change of velocity with respect to time (\( \frac{\Delta v}{\Delta t} \)) is the direct definition of acceleration.


Why other options are incorrect:

The area under the graph gives displacement/distance. Force requires mass (Newton's 2nd Law). Speed is a scalar magnitude of velocity, not its gradient over time.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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