Question 36

Question

The graph below represents the relationship between speed and time for a car moving in a straight line.

What is the acceleration of the car?

a
10 m/s2

b
1.0 m/s2

c
0 m/s2

d
0.10 m/s2

Question 37
Shown in the diagram below is path A from point P1 to P2, along which a dog ran. Also shown is an arrow labeled B.

What do A and B represent in the diagram?

a
A represents the displacement the dog traveled, while B is a vector representing the change in position of the dog.
b
A represents the change in position the dog traveled, while B is a vector representing the distance of the dog.
c
A represents the distance the dog traveled, while B is a vector representing the displacement of the dog.
d
A represents the displacement the dog traveled, while B is a vector representing the distance of the dog.
Question 38
David is skateboarding at a speed of 2.5 m/s. How far can he travel on his skateboard in 100 seconds?

\large speed=\frac{distance}{time}

a
250 m
b
0.025 m
c
102.5 m
d
40 m
Question 39
What is the difference between speed and velocity?

a
Velocity has distance.
b
Velocity has direction.
c
Velocity has weight.
d
Velocity has time.

Answer 1

Here are the answers to your questions:

Question 36: What is the acceleration of the car?
To determine the acceleration from a speed-time graph, you would look at the slope of the line on the graph. If the speed is increasing at a constant rate, the slope is constant. Without the graph, I can't give a precise answer, but if the graph has a straight, upward slope, the acceleration can be calculated using the formula \( \text{acceleration} = \frac{\Delta v}{\Delta t} \). Assuming that's the case:

• If the slope indicates an increase of speed by 10 m/s over a time interval of 1 second, the answer would be a) 10 m/s².
• If the slope indicates an increase of speed by 1 m/s over a time interval of 1 second, the answer would be b) 1.0 m/s².
• If the speed is constant, the answer would be c) 0 m/s².
• If the slope indicates an increase of speed by 0.1 m/s over a time interval of 1 second, the answer would be d) 0.10 m/s².

Question 37: What do A and B represent in the diagram?
Without seeing the diagram, the best answer based on typical definitions is:

• c) A represents the distance the dog traveled, while B is a vector representing the displacement of the dog. (Assuming path A is the actual path taken and displacement vector B points directly from P1 to P2.)

Question 38: How far can David travel on his skateboard in 100 seconds?
Using the formula:
\[ \text{distance} = \text{speed} \times \text{time} \] \[ \text{distance} = 2.5 , \text{m/s} \times 100 , \text{s} = 250 , \text{m} \] So the answer is a) 250 m.

Question 39: What is the difference between speed and velocity?
The correct distinction between speed and velocity is:

• Speed is a scalar quantity that only has magnitude, while velocity is a vector quantity that has both magnitude and direction. Thus, the answer is b) Velocity has direction.