Question

Difficulty: EasyMechanics and Motion

In the study of classical mechanics, fundamental terms describe the motion of objects and their response to forces. Match each mechanics term on the left with its correct scientific definition on the right.

  • VelocityThe rate of change of an object's position over time in a specified direction
  • AccelerationThe rate at which an object's velocity changes over time
  • InertiaThe natural tendency of an object to resist changes in its state of rest or motion
  • MomentumThe quantity of motion an object possesses, equal to the product of its mass and velocity

Answer

Velocity corresponds to the rate of change of position in a specified direction; Acceleration corresponds to the rate at which velocity changes over time; Inertia corresponds to an object's resistance to changes in its state of motion; and Momentum corresponds to the product of an object's mass and velocity.
The pairings correctly match each fundamental physical term to its scientific definition: Velocity is position change over time with direction; Acceleration is velocity change over time; Inertia is the intrinsic resistance of matter to motion changes; and Momentum is the product of mass and velocity.

Step-by-Step Solution

1
Define Velocity
Velocity is displacement divided by elapsed time (v=ΔxΔtv = \frac{\Delta x}{\Delta t}), including direction.
It describes how rapidly an object changes its position in a particular direction.
2
Define Acceleration
Acceleration is the change in velocity divided by time (a=ΔvΔta = \frac{\Delta v}{\Delta t}).
It quantifies speeding up, slowing down, or changing direction.
3
Define Inertia
Inertia is proportional to mass and represents resistance to acceleration.
According to Newton's first law, a body maintains constant velocity unless acted upon by a net external force.
4
Define Momentum
Momentum (pp) is calculated as mass times velocity (p=mvp = mv).
It represents the overall moving mass and determines the impact force needed to bring an object to rest.

Key Concept

Core kinematic and dynamic quantities in mechanics: velocity, acceleration, inertia, and momentum.
Estimated Time:45s
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