An object starts moving from rest, with constant acceleration. Its velocity is:
directly proportional to time
To complete the statement, the correct answer is that its velocity is directly proportional to time (or increasing at a constant rate).
Step-by-Step Derivation
Initial State: Since the object starts "from rest", its initial velocity (u) is 0.
The Formula: According to the first equation of motion:
v=u+at
Simplification: Substituting u=0 into the equation gives:
v=at
Conclusion
Since the acceleration (a) is constant, velocity (v) is a linear function of time (t). This means the velocity increases by equal amounts in equal intervals of time.
On a velocity-time (v-t) graph, this motion is represented by a straight line passing through the origin, where the slope of the line equals the constant acceleration.
Similar Questions
Which of the following changes when a body performs uniform circular motion?
Why does a sprinter keep running even after crossing the finishing line?
The passengers standing in a bus fall in the backward direction when the stationary bus begins to move. Which of the following laws explains this situation?
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A train, starting from rest, attains a velocity of 90 km/h in 5 minutes. Assuming that the acceleration is uniform, the distance travelled by the train during this time is:
The first equation of motion gives the relation between _________.
The rate of change of displacement is called:
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Important Questions from Motion
An object is covering distance in direct proportion to the square of time elapsed. What conclusion can be drawn about the motion of the object?
If the distance time graph of the motion of an object is a straight line but not parallel to the time axis, then it may be concluded that the object is moving with a:
Which of the following changes when a body performs uniform circular motion?
Vehicles have treaded tires so that it_______.
What is the formula for momentum?
