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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