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If the velocity of an object is directly proportional to the time, then the object has:
1. variable acceleration
2. uniform acceleration
3. uniform velocity
4. uniform speed

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Correct Answer - Option 2 : uniform acceleration

CONCEPT:

  • Velocity: The rate of change of displacement is called velocity.
    • The slope of the position-time graph or displacement - time graph gives the velocity.

​Velocity (v) = dx/dt

Where x is displacement and t is time

  • Acceleration: The rate of change in velocity is called acceleration.
    • The slope of a velocity-time graph gives the acceleration.

Acceleration (a) = dv/dt 

  • Anything (that is velocity, acceleration, or speed) which is constant is called uniform (uniform velocity, uniform acceleration, or uniform speed).

EXPLANATION:

Given that:

v ∝ t

v = kt

where k is a constant.

Acceleration (a) = dv/dt = k = constant

Hence the object has uniform acceleration.

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