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Which is this the correct variable for the equation "____= displacement divided by time"?speedaccelerationvelocity

Question

Which is this the correct variable for the equation "____= displacement divided by time"?

  • speed
  • acceleration
  • velocity
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Solution

To determine the correct variable for the equation "____ = displacement divided by time," let's analyze each option step by step:

  1. Speed:

    • Speed is defined as the distance traveled divided by the time it takes to travel that distance.
    • The formula for speed is: Speed=DistanceTime \text{Speed} = \frac{\text{Distance}}{\text{Time}} .
    • Note that speed is a scalar quantity, meaning it only has magnitude and no direction.
  2. Acceleration:

    • Acceleration is defined as the rate of change of velocity with respect to time.
    • The formula for acceleration is: Acceleration=Change in VelocityTime \text{Acceleration} = \frac{\text{Change in Velocity}}{\text{Time}} .
    • Acceleration is not related to displacement directly in the way described by the given equation.
  3. Velocity:

    • Velocity is defined as the displacement divided by the time taken.
    • The formula for velocity is: Velocity=DisplacementTime \text{Velocity} = \frac{\text{Displacement}}{\text{Time}} .
    • Velocity is a vector quantity, meaning it has both magnitude and direction.

Given the definitions and formulas above, the correct variable for the equation "____ = displacement divided by time" is:

Velocity

So, the complete equation is: Velocity=DisplacementTime \text{Velocity} = \frac{\text{Displacement}}{\text{Time}}

This problem has been solved

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