Question 1

The image shows a car's speed varying over time. Which statement best describes the difference between instantaneous velocity and average velocity as illustrated in the graph?

Accepted Answer

Instantaneous velocity is the car's velocity at a specific moment, while average velocity is the total displacement divided by the total time.

Question 2

If the car in the image travels a total displacement of $$120 \ \mathrm{km} in$$ $$2 \ \mathrm{hours}$$, what is its average velocity?

Accepted Answer

$$60 \ \mathrm{km/h}$$

Question 3

At the point labeled 'Instantaneous' on the graph, what does the slope of the tangent to the curve represent?

Accepted Answer

The instantaneous velocity of the car at that moment.

Question 4

Suppose the car comes to a stop at the end of the trip. What can be said about its average velocity if it returns to its starting point?

Accepted Answer

$$0 \ \mathrm{km/h}$$

Question 5

If the car's speedometer reads $$50 \ \mathrm{km/h} at a $$particular instant, what type of velocity is this?

Accepted Answer

Instantaneous velocity

Question 6

Which of the following best describes the average velocity shown in the image?

Accepted Answer

It is the total displacement divided by the total time taken.

Question 7

If the car's velocity changes from $$30 \ \mathrm{km/h} to$$ $$60 \ \mathrm{km/h} in$$ $$10 \ \mathrm{s}$$, what is its average acceleration?

Accepted Answer

$$0.83 \ \mathrm{m/s^2$}$$

Question 8

Which of the following statements is true about the car's motion as depicted in the graph?

Accepted Answer

The car's instantaneous velocity varies throughout the trip.

Question 9

If the car's speed is zero at a certain instant, what can be said about its instantaneous velocity at that moment?

Accepted Answer

The instantaneous velocity is zero.

Question 10

Why is the average velocity represented as a straight dashed line in the image?

Accepted Answer

Because it is a constant value calculated over the entire trip.

Motion and Acceleration: Speed, Velocity, and Reference Frames

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