Question 1

Which of the following is the correct SI base unit for measuring electric current?

Accepted Answer

ampere

Question 2

A measurement is recorded as $$12.30 m. $$How many significant figures does this value have?

Accepted Answer

4

Question 3

A student measures the length of a table three times and gets $$2.01 m$$, $$2.03 m$$, and $$2.02 m. $$The actual length is $$2.00 m. $$Which statement best describes the measurements?

Accepted Answer

The measurements are precise but not accurate.

Question 4

Which of the following best describes a vector quantity?

Accepted Answer

A quantity with both magnitude and direction.

Question 5

Given two vectors $$\vec{A}$$ and $$\vec{B}$$, which of the following correctly represents their vector sum?

Accepted Answer

$$\vec{A} + \vec{B}$$

Question 6

A vector $$\vec{C}$$ has components $$C_x = 3$$ and $$C_y = 4. $$What is the magnitude of $$\vec{C}$$?

Accepted Answer

$$5$$

Question 7

Which of the following is a correct expression for a unit vector in the direction of $$\vec{A}$$?

Accepted Answer

$$\vec{A} / |\vec{A}|$$

Question 8

If $$\vec{A} = 2\hat{i} + 3\hat{j}$$ and $$\vec{B} = -\hat{i} + 4\hat{j}$$, what is $$\vec{A} \cdot \vec{B}$$?

Accepted Answer

$$10$$

Question 9

A car travels $$100 m $$east and then $$60 m $$north. What is the magnitude of its displacement?

Accepted Answer

$$\sqrt{100^2$ + 60^2$} = 116 m$$

Question 10

Which of the following best defines average velocity?

Accepted Answer

The displacement divided by the time interval.

Question 11

A runner moves from position $$x_1 = 0$ m to x_2$ = 50 m in$$ $$10 s. $$What is the average velocity?

Accepted Answer

$$5 m/s$$

Question 12

The instantaneous velocity of an object is defined as:

Accepted Answer

The derivative of position with respect to time.

Question 13

A car's velocity changes from $$10 m/s to$$ $$30 m/s in$$ $$5$$ seconds. What is its average acceleration?

Accepted Answer

$$4$$ $$m/s^2$$

Question 14

Which of the following is NOT a vector quantity?

Accepted Answer

Speed

Question 15

If $$\vec{A} = 4\hat{i} + 3\hat{j}$$, what is the direction angle $$	heta of$$ $$\vec{A}$$ with respect to the x-axis?

Accepted Answer

$$	heta = \arctan(3/4)$$

Question 16

Which operation results in a scalar quantity?

Accepted Answer

Dot product of two vectors

Question 17

A cyclist moves with a constant velocity of $$8 m/s $$for $$15 s. $$What is the displacement?

Accepted Answer

$$120 m$$

Question 18

If the position of a particle is given by $$x(t) = 3t^2$ + 2t + 1$$, what is the instantaneous velocity at $$t = 2 s$$?

Accepted Answer

$$14 m/s$$

Question 19

A ball is thrown straight up. At the highest point of its path, which of the following is true?

Accepted Answer

The velocity is zero and the acceleration is $$-9.8 m/s$^2.$$

Fundamental Concepts in Physics: Measurement, Vectors, and Kinematics

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