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 1. Which of these is a scalar quantity?

  • A. displacement
  • B. power
  • C. velocity
  • D. acceleration

2. Which of these is a vector quantity?

  • A. pressure
  • B. mass
  • C. force
  • D. time

3. A vector quantity has

  • A. size only
  • B. size and direction
  • C. direction only
  • D. neither size nor direction

4. A polar bear walks 8 km north searching for food, and then 5 kilometers south again. Which of these gives the total distance travelled and displacement of the bear at the end of the journey?

Distance (km) Displacement (km)
A
13 13
B
8 3
C
3 13
D
13 3

 

5+6. The polar bear does a second journey the next day, this time walking 3 km north and then 4 km east.

5.What is the total displacement of the bear from the start?

  • A. 7 km
  • B. 5 km
  • C. 25 km
  • D. 4 km

6. Which of the following arrows best describes the total displacement?

 

7+8. Two forces are acting on a point as shown in the diagram.

7. Which of these arrows best represents the resultant force on the point?

8. The magnitude of the resultant force is

  • A. 40 N
  • B. √40 N
  • C. 8 N
  • D. √8 N

9&10. A cannonball is fired at a velocity v from a cannon, at an angle of 250 to the horizontal.

9. The vertical component of the velocity is given by

 

10. If the horizontal velocity is found to be 20 m s-1, then the value of v is equal to

 

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Question 1:

scalar quantity has magnitude only (no direction).

From the options:

Answer: B. power ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 2:

vector quantity has both magnitude and direction.

From the options:

Answer: C. force ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 3:

vector quantity has both size (magnitude) and direction.

That matches B.

Answer: B ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 4:

Step 1: Distance travelled
Distance is the total path length:

8 km+5 km=13 km

Step 2: Displacement
Displacement is the net change in position (vector from start to end).
North: +8 km
South: −5 km
Net: +8−5=+3 km (3 km north from start)

So:
Distance = 13 km
Displacement = 3 km

That matches D.

Answer: D ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 5:

Magnitude of displacement

√(42+32) = √(16+9) = √25 = 5 km

That matches B. 5 km.

Answer: B ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 6:

The resultant vector will have a larger 'east' component (4 km) than 'north' (3km). Therefore the resultant vector should be approximately north east, but closer to the horizontal than to the vertical. That matches arrow A in the diagram.

Answer: A ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 7:

* A.I. could not work with this problem based on the image provided. The solution is to draw a parallelogram based on the 2 provided arrows. The resultant will go from bottom left (origin) to the top right corner. This arrow will approximately match arrow B. (The silverback)


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 8:

Step 1: Resultant magnitude for perpendicular vectors
If vectors are at right angles, use Pythagoras:

R=(F12+F22)

Step 2: Substitute values

R=√(22+62) = √(4+36) = √40

That matches B. √40 N

Answer: B ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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A.I. response
Our use of A.I. is environmentally friendly!
We do an A.I. search for each question, then store the response to that question on our server. No need to do multiple searches! Repeating the same A.I. request would have a much bigger carbon footprint.

Question 9:

The vertical component of velocity is given by:

vy=vsin⁡θ

Here, θ=25° so:

vy=v sin⁡ 25°

Answer: A ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

close cross
A.I. response
Our use of A.I. is environmentally friendly!
We do an A.I. search for each question, then store the response to that question on our server. No need to do multiple searches! Repeating the same A.I. request would have a much bigger carbon footprint.

Question 10:

We know:
Horizontal component vx=v.cosθ
Given vx=20 m/s

v.cos⁡25°=20

so v = 20 / cos⁡25°

This matches option D

Answer: D ✅


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.