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`IB DP Physics Questions`

Question 1

**Which of the following is a scalar quantity?**

A. Velocity

B. Displacement

C. Speed

D. Force

Question 2

**Two vectors of magnitudes, 5 units and 7 units, are added together. What is the maximum possible resultant magnitude?**

A. 2 units

B. 5 units

C. 12 units

D. 15 units

Question 3

**Which operation can convert a vector quantity into a scalar?**

A. Addition

B. Subtraction

C. Scalar multiplication

D. Taking the magnitude

Question 4

**If vector A represents 5 units east and vector B represents 3 units north, what is the magnitude of the resultant vector when A and B are added?**

A. 4 units

B. 6 units

C. 8 units

D. 5.83 units

Question 5

**Which of the following is NOT a vector quantity?**

A. Acceleration

B. Momentum

C. Temperature

D. Weight

Question 6

**a)** Define a scalar quantity and provide two examples. [2]

**b) **A car travels 60 km to the north and then 80 km to the east. Calculate the magnitude of the resultant displacement of the car. [3]

Question 7

**a)** Explain the difference between a vector and a scalar quantity. [3]

**b)** A plane flies 150 km/h in a direction 30° north of east. Determine the eastward component of the plane's velocity. [2]

Question 8

**a)** Describe how vectors are represented graphically. [2]

**b)** Two forces act on an object: one of 5 N to the east and another of 12 N to the north. Calculate the magnitude of the resultant force on the object. [3]

Question 9

**a)** What is the significance of the direction of a vector? [2]

**b)** A boat travels 40 km to the west and then 30 km to the south. Calculate the magnitude of its resultant displacement. [3]

**c)** What angle does this displacement make with the west direction? [2]

Question 10

**a)** Define scalar multiplication and explain its effect on a vector. [3]

**b)** A force vector has a magnitude of 10 N and is directed north. What is its magnitude after undergoing a scalar multiplication by a factor of 2.5? [2]

**c)** If the original force vector was at an angle of 45° to the east of north, what will be its new direction after scalar multiplication? [2]

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