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Question

Assuming that an object moves with uniform velocity, what physical quantity is obtained when the velocity of an object is multiplied by the time of travel?

The correct answer is
Displacement

To determine the physical quantity obtained when the velocity of an object is multiplied by the time of travel, we need to understand the basic relationship between velocity, time, and displacement.

Relevant Concept: The relationship between velocity, time, and displacement is given by the formula for uniform motion:

Displacement = Velocity \times Time

Here, displacement is the distance covered by an object in a specific direction, which is a vector quantity. Since the velocity is uniform (constant), this formula can directly be applied.

  1. Velocity is the rate at which an object changes its position. It is given in meters per second (m/s).
  2. Time is the duration over which the object has been moving, typically given in seconds (s).
  3. By multiplying velocity by time, the object’s displacement is calculated, which indicates how far and in which direction the object has moved.

Explanation of Options:

  • Displacement: The correct option, as explained, is obtained by multiplying velocity with time when velocity is uniform.
  • Acceleration: This is the rate of change of velocity with respect to time, and is not directly obtained from velocity multiplied by time.
  • Force: This relates to mass and acceleration (according to Newton's second law, F = ma), and is unrelated to the product of velocity and time.
  • Momentum: This is the product of mass and velocity (p = mv), not involving the time factor directly.

Thus, when an object moves with uniform velocity, the physical quantity obtained by multiplying its velocity by the time of travel is Displacement.

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Important Questions from Motion

  1. 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

  2. The motion of ______ body is an example of uniformly accelerated motion.

  3. in a particular direction is velocity.
  4. Motion of an object is if its velocity is constant.

  5. The motion of the body moving along a circular path is an example of ______.

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