IB Physics HL - 2024 - Questionbank

1.3 - Vectors & Scalars

Adding & Subtracting Vectors, Vector Components

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Paper 1

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Question 1

no calculator

easy

A pilot intends to fly a plane from point $A$ to point $B$ . Due to strong winds, she points the nose of the plane in the direction shown by the vector $P$ . Which of the choices below best represents the direction of the wind encountered by the plane?

PH0259-1


A.		B.
	$\hspace{2cm}$
$\hspace{1em}$
C.		D.

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Question 2

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easy

Which of the following is a vector quantity?

A. $\hspace{1em}$ Speed
B. $\hspace{1em}$ Electric force
C. $\hspace{1em}$ Electric current
D. $\hspace{1em}$ Temperature

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Question 3

no calculator

easy

Vectors $X$ and $Y$ are in the shown directions.

PH0489-Q

Which of the following shows the sum of the two vectors?


A.		B.
	$\hspace{2cm}$
$\hspace{1cm}$
$\hspace{1em}$
C.		D.

easy

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Question 4

no calculator

easy

A ball is projected with an initial speed of $2\,m\,s^{-1}$ making an angle of $35^o$ with the horizontal as shown.

PH0495

Which expression gives the vertical component of the velocity vector?

A. $\hspace{1em}$ $2\,m\,s^{-1}$
B. $\hspace{1em}$ $2\,cos(35^o)\,m\,s^{-1}$
C. $\hspace{1em}$ $2\,sin(35^o)\,m\,s^{-1}$
D. $\hspace{1em}$ $2\,tan(35^o)\,m\,s^{-1}$

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Question 5

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easy

An object moves $9\,m$ east, then $12\,m$ north.

What is the magnitude of the total displacement of this object?

A. $\hspace{1em}$ 3 $m$
B. $\hspace{1em}$ 15 $m$
C. $\hspace{1em}$ 21 $m$
D. $\hspace{1em}$ 36 $m$

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Question 6

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easy

Two trucks X and Y are pulling a car out of thick mud along a straight path. The only other horizontal force acting on the car is a drag force opposite to the direction of motion. The diagram shows the direction of the force applied by truck $X$ and the direction of motion of the car.

PH0490

Which of the following vectors shows the direction of the force applied by truck $Y$ ?

PH0490-1

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Question 7

no calculator

medium

Vector $d$ makes an angle $\theta$ with the horizontal as shown. Its magnitude is $5\,m$ and the magnitude of its horizontal component $d_x$ is $3\,m$ .

PH0491

Which of the following is correct about the magnitude and direction of its vertical component?

	$\hspace{1em}$ Magnitude $\hspace{1em}$	$\hspace{1em}$ Direction $\hspace{1em}$
$\hspace{1.5em}$ A. $\hspace{1.5em}$	4 $m$	Up
$\hspace{1.5em}$ B. $\hspace{1.5em}$	$\sqrt{34}\,m$	Up
$\hspace{1.5em}$ C. $\hspace{1.5em}$	$\sqrt{34}\,m$	Down
$\hspace{1.5em}$ D. $\hspace{1.5em}$	4 $m$	Down

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Question 8

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medium

A car moves clockwise in a circular path as shown. The direction of its instantaneous velocity at two different times is shown in the diagram.

PH0496

Which of the following vectors shows the direction of the change in velocity?


A.	$\hspace{3cm}$	B.

C.		D.

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Question 9

no calculator

medium

A stream flows east with a speed $v_s$ . A boat points due south and moves with a speed $v_o$ relative to the water.

PH0492

The ratio $\dfrac{v_o}{v_s} = \dfrac{1}{2}$

Which of the following is correct about the magnitude in $m\,s^{-1}$ and the angle $\theta$ between the velocity of the boat and the side of the stream?

	$\hspace{1em}$ Magnitude $\hspace{1em}$	$\hspace{2.5em}$ $\theta$ $\hspace{2.5em}$
$\hspace{1.5em}$ A. $\hspace{1.5em}$	$\sqrt{3}\,v_o$	$\sin^{-1}(\dfrac{1}{2})$
$\hspace{1.5em}$ B. $\hspace{1.5em}$	$\sqrt{3}\,v_o$	$\cos^{-1}(\dfrac{1}{2})$
$\hspace{1.5em}$ C. $\hspace{1.5em}$	$\sqrt{5}\,v_o$	$\tan^{-1}(2)$
$\hspace{1.5em}$ D. $\hspace{1.5em}$	$\sqrt{5}\,v_o$	$\tan^{-1}(\dfrac{1}{2})$

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