Physics / Knowledge quiz

Speed vs velocity: what is the difference, and what is acceleration?

Speed vs velocity differs because speed is a scalar measuring how fast an object covers distance while velocity is a vector that also includes direction. The quiz covers reference frames, scalar versus vector quantities, acceleration as the rate of velocity change, and free fall under gravity. Try the questions now.

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Question 1

What is a reference frame in physics?

A reference frame provides the background context against which an observer measures position and motion.

Source excerpt
To describe this situation, we use a reference frame. This is the background or environment you use to measure movement.

From the Knowverse course text.

Question 2

A passenger sits still on a moving train. How can they be at rest and moving at the same time?

Rest and motion are described relative to a chosen reference frame.

Source excerpt
There is no such thing as 'absolute' stillness. Everything is moving depending on the reference frame you choose.

From the Knowverse course text.

Question 3

How does velocity differ from speed?

Speed is a magnitude-only scalar, while velocity is a vector that specifies both speed and direction.

Source excerpt
To solve this, we use a measurement called velocity, which combines speed with a specific direction.

From the Knowverse course text.

Question 4

What defines a scalar quantity?

Scalar quantities, such as mass or temperature, are fully described by magnitude without a physical direction.

Source excerpt
A scalar quantity is a measurement that only involves magnitude, which is just a fancy word for 'size' or 'how much'.

From the Knowverse course text.

Question 5

Why does a car driving at a steady 50 km/h around a circular track accelerate?

Because velocity includes direction, turning changes velocity over time, which meets the definition of acceleration.

Source excerpt
However, because the car is constantly turning, its direction is constantly changing. Because the velocity's direction changed, the car accelerated, even though the speedometer stayed the same.

From the Knowverse course text.

Question 6

What is the standard metric unit for acceleration?

Acceleration tracks velocity change (m/s) per unit of time (s), yielding meters per second squared (m/s²).

Source excerpt
Because we are measuring a change in meters per second (m/s) over another period of seconds, the unit is meters per second squared (m/s²).

From the Knowverse course text.

Question 7

What defines an object in free fall?

Free fall occurs when gravitational pull is the single force acting on an object, excluding air resistance or engine thrust.

Source excerpt
When an object moves solely because of this pull, without any other pushes or resistance, it is in a state called free fall.

From the Knowverse course text.

Question 8

What happened when Apollo astronauts dropped a hammer and a feather on the Moon?

With negligible air resistance, objects released together experience the same gravitational acceleration at the same location.

Source excerpt
Both the hammer and the feather hit the lunar surface at the exact same moment, confirming the rule of free fall.

From the Knowverse course text.

Question 9

An object falls from rest with constant gravitational acceleration and negligible air resistance. What happens to distance fallen when time doubles?

Distance in free fall grows with the square of time; doubling elapsed time multiplies total distance by four.

Source excerpt
This is the square rule: if you double the time an object falls, the total distance it covers actually quadruples.

From the Knowverse course text.

Question 10

Which motion involves acceleration?

Slowing changes velocity, so it is acceleration.

Source excerpt
This act of changing velocity over a period of time is what we call acceleration.

From the Knowverse course text.

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Measuring motion

A passenger sitting on a train is at rest relative to the carriage but moving relative to the platform. A reference frame gives the background against which motion is measured. Naming that frame helps explain how two observers can describe the same passenger differently without either description being mistaken.

Speed describes how fast an object covers distance. Velocity includes direction as well as speed, making it a vector rather than a scalar. A car traveling around a circular track can keep the same speed while its velocity changes, because its direction changes throughout the turn.

Source excerpt
Because velocity requires both a speed and a direction, it is a perfect example of a vector.

From the Knowverse course text.

Experimental Evidence — image from Wikimedia Commons
Drop time · Michael Courtney at English Wikipedia · CC BY-SA 3.0

Changing velocity and falling

Acceleration is the rate of change of velocity, measured in meters per second squared. Speeding up, slowing down and changing direction can all involve acceleration. A change of several meters per second over a short interval represents greater acceleration than the same velocity change spread over a longer interval.

In ideal free fall, gravity is the only force acting. Near Earth's surface, the downward acceleration is approximately 9.8 meters per second squared, often rounded to 10. Without air resistance, objects released together from rest fall equally fast. With approximately constant gravitational acceleration, the distance fallen from rest grows with the square of elapsed time.

Source excerpt
When an object moves solely because of this pull, without any other pushes or resistance, it is in a state called free fall.

From the Knowverse course text.

Sources

Sources: Describing Physical Motion. Each question or step includes an excerpt from the course.