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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. 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?

  2. 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:

  3. Which of the following changes when a body performs uniform circular motion?

  4. Vehicles have treaded tires so that it_______.

  5. 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)

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