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
A pendulum takes 60 seconds to complete 24 oscillations. If its length is increased and it now takes 72 seconds for the same number of oscillations, what has happened to its time period?
Negative acceleration occurs in the opposite direction of:
A 4.0 kg object is moving horizontally with a speed of 5.0 m/s. To increase its speed to 10 m/s, the amount of work required to be done on this object is:
Momentum is measured as the product of:
A body of 4.0 kg is lying at rest. Under the action of a constant force, it gains a speed of 5 m/s. The work done by the force will be _______.
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:
Which of the following changes when a body performs uniform circular motion?
A ball, thrown vertically upward, rises to a height of 80 m and returns to its original position. The magnitude of its displacement after 7 s of motion will be _______. (take g = 10m/s 2)
The rate of change of displacement is called:
If the initial velocity of an object thrown upwards is 14 m/s, then the time taken for the object to reach its highest point will be_______. (a = 9.8 m/s2)
Important Questions from Motion
The motion of a particle of mass m is described by the relation, y = ut - 1⁄2 gt2, where u is the initial velocity of the particle. The force acting on the particle is
The rate of change in the velocity of an object per unit time is referred as ________.
Which of the following is a correct equation of motion?
The acceleration of an object is said to be _______ when an object travels in a straight line and its velocity increases or decreases by an equal amounts in equal intervals of time.
What is the friction force employed between the two surfaces interacted in relative speed?
