Acceleration and Velocity-Time Graphs Review

Flashcards covering physics concepts of acceleration, velocity-time graphs, and distance calculations based on lecture exercises.

What is a standard unit used to measure acceleration?

$$m/s^2$$

On a speed-time graph, what does a horizontal line indicate about an object's motion?

The object is moving with constant speed.

On a speed-time graph, what physical quantity is represented by the area under the line?

Distance travelled

According to Fig. 2.1, what is the speed of cyclist B?

$$20\,m/s$$

Based on the first 20s of the journey for cyclist B moving at a constant $20\,m/s$, what is the total distance travelled?

$$\text{distance travelled} = 20\,m/s \times 20\,s = 400\,m$$

On a distance-time graph, how is an object moving with constant speed represented?

A straight diagonal line with a constant gradient (labeled A in the exercise).

On a speed-time graph, what type of line represents an object moving with constant acceleration?

A straight diagonal line (labeled S in the exercise).

In Fig. 1.1, which part of the graph shows a car at rest?

Part E

How can you determine from a speed-time graph (like Fig. 1.1) which car has a greater acceleration?

By comparing the gradient (slope) of the lines; a steeper gradient indicates a greater acceleration.

In Fig. 2.1 for the ship's motion, what does section B represent?

Constant speed

What is the initial speed and uniform deceleration rate of the object in Section 3, Task 3, 1(b)?

Initial speed of $50\,m/s$ and deceleration of $0.35\,m/s^2$.

According to Fig. 1.1 of the roller skater's journey, what letter represents the 'start of motion' characterized by acceleration?

W

If a runner moves at a constant speed of $10\,m/s$ for $5.0\,s$, what is the distance travelled?

$$\text{distance} = 10\,m/s \times 5.0\,s = 50\,m$$

If a car's speed increases from $0\,m/s$ to $25\,m/s$ at a uniform rate over $5.0\,s$, what is the distance travelled?

$$\text{distance} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 5.0\,s \times 25\,m/s = 62.5\,m$$

On a speed-time graph, how is an object accelerating at a changing rate or 'increasing acceleration' represented?

By a curved line (labeled T in the exercise).