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Velocity does not change with time - Non-uniform motion
Velocity varies with time - Uniform motion
Motion of a freely falling body - Non-uniform acceleration
Velocity varies with time - Uniform motion
Motion of a freely falling body - Non-uniform acceleration
Analyze the definitions of physical terms: Acceleration is defined as the rate of change of velocity (change in velocity per unit time).
Analyze the definitions of physical terms: Acceleration is defined as the rate of change of velocity (change in velocity per unit time).
Analyze the definitions
Acceleration is defined as the rate of change of velocity, which is mathematically expressed as the change in velocity divided by the change in time.
Match with given pairs
The pair 'Change in velocity per unit time - Acceleration' accurately matches the physical definition of acceleration.
A: 'Velocity does not change with time' refers to uniform motion, not non-uniform. C: 'Motion of a freely falling body' has uniform acceleration (due to gravity). D: 'Velocity varies with time' refers to non-uniform or accelerated motion, not uniform motion.
B is correct because the phrase 'Change in velocity per unit time' is the precise physical definition of acceleration.
Remember that uniform motion implies constant velocity (zero acceleration), whereas non-uniform motion implies varying velocity (non-zero acceleration).
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