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Can you solve these problems that involve velocity?

During a race, Tevin runs an average velocity of 5.3 m/s. What is Tevin's displacement after 3.0 minutes of the race?

  1. 15.9 m
  2. 954 m
  3. 1.77 m
  4. 34.0 m

Be careful, the units that you used do not match!

Use the equation \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t}}\) and solve for v.

Solving \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t}}\) for \(\mathsf{\Delta x}\), you get \(\mathsf{\Delta x = \overrightarrow {v} \Delta t }\).

Solving \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t}}\) for \(\mathsf{\Delta x}\), you get \(\mathsf{\Delta x = \overrightarrow {v} \Delta t }\).

A swimmer swims from one end to the other of a 50.0 m pool in 25.3 seconds. What is his average velocity?

  1. 4.67 m/s
  2. 0.506 m/s
  3. 1270 m/s
  4. 1.98 m/s

Use the equation \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t} }\) to solve for the velocity.

Use the equation \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t} }\) to solve for the velocity.

Use the equation \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t} }\) to solve for the velocity.

Use the equation \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t} }\) to solve for the velocity.

Your school is 11.65 kilometers from your house. If the school bus drives with an average velocity of 21.7 km/hr, how long will it take you to get to school?

  1. 0.537 hr
  2. 252 hr
  3. 1.86 hr
  4. 32.2 hr

Solving \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t} }\) for time, you get \(\mathsf{\Delta t = \frac{\Delta x}{\overrightarrow {v}} }\).

Solving \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t} }\) for time, you get \(\mathsf{\Delta t = \frac{\Delta x}{\overrightarrow {v}} }\).

Solving \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t} }\) for time, you get \(\mathsf{\Delta t = \frac{\Delta x}{\overrightarrow {v}} }\).

Solving \(\mathsf{\overrightarrow {v} = \frac{\Delta x}{\Delta t} }\) for time, you get \(\mathsf{\Delta t = \frac{\Delta x}{\overrightarrow {v}} }\).

You look down at the speedometer on your dashboard and you are going 47 miles per hour. This is an example of which quantity?

  1. average velocity
  2. average displacement
  3. instantaneous displacement
  4. instantaneous velocity

The speedometer on the car tells you your velocity at one moment in time.

The speedometer on the car tells you your velocity at one moment in time.

The speedometer on the car tells you your velocity at one moment in time.

The spedometer on the car tells you your velocity at one moment in time.

You are given a position versus time graph of an object in motion. What part of the graph shows you the average velocity of the graph?

  1. the x-axis
  2. the y-axis
  3. the slope of the graph
  4. it cannot be determined from the graph

The velocity of the object is the measure of change in position (the y-axis) over time (the x-axis).

The velocity of the object is the measure of change in position (the y-axis) over time (the x-axis).

The velocity of the object is the measure of change in position (the y-axis) over time (the x-axis).

The velocity of the object is the measure of change in position (the y-axis) over time (the x-axis).

Summary

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