Physics Force & Motion SZABMU 2022
PMDC Verified Question 66 of 137
Slope of distance time graph can never be:
A
Positive
B
Negative
C
Constant
D
Zero
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: Negative
Concept:

Distance is a scalar quantity that measures the total length of the path covered by a moving object. Because it is a cumulative total, it can only increase or remain the same.

Solution:

  • The slope of a distance-time graph represents speed (\( \frac{\Delta d}{\Delta t} \)).


  • Since distance cannot physically decrease over time, \( \Delta d \) must always be greater than or equal to zero.


  • Therefore, the slope can be positive (moving) or zero (stationary), but it can mathematically and physically never be negative.


Why other options are incorrect:

Displacement-time graphs CAN have a negative slope (if returning toward the origin), but distance is fundamentally additive.

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