Kinematics and Motion Assessment

This assessment covers the fundamental concepts of kinematics, including displacement, velocity, acceleration, and motion graphs. The equations used include:

• Displacement: $\Delta x = x_f - x_i$
• Velocity: $v = \frac{\Delta x}{\Delta t}$
• Acceleration: $a = \frac{\Delta v}{\Delta t}$
• Kinematic equation: $x = x_0 + v_0t + \frac{1}{2}at^2$

Multiple Choice Questions

Question 1: Vector Quantities

Which of the following quantities are vectors? Select all that apply.

• Mass
• Displacement
• Velocity
• Time
• Acceleration
• Speed

Question 2: Displacement vs. Distance

A student walks 3 meters east, then 4 meters north. The student’s total distance traveled and displacement are, respectively:

• 5 m and 5 m
• 7 m and 7 m
• 7 m and 5 m
• 5 m and 7 m

Question 3: Acceleration Definition

Acceleration is defined as:

• The rate of change of distance with time
• The total displacement divided by the time taken
• The rate of change of velocity with time
• The product of mass and velocity

Numerical Questions

Question 4: Calculating Average Velocity

A car travels 150 meters in 10 seconds. What is its average velocity?

Answer: [15] m/s

Question 5: Free Fall Calculation

A ball is dropped from a height of 20 meters. How long does it take to reach the ground? Use $g = 9.8 \text{ m/s}^2$. Apply the equation:

[y = y_0 + v_0t - \frac{1}{2}gt^2]

Where $y_0 = 20 \text{ m}$, $v_0 = 0 \text{ m/s}$, and $y = 0 \text{ m}$ at the ground.

Answer: [2.02] s

Unit Selection Questions

Question 6: Appropriate Units

Select the appropriate SI unit for measuring acceleration:

[m/s²]

• m/s
• m/s²
• kg·m/s
• N

Question 7: Dimensional Analysis

The quantity momentum has the same dimension as:

[Force × Time]

• Force × Distance
• Force × Time
• Mass × Distance
• Energy / Velocity

Conceptual Questions

Question 8: Position-Time Graphs

A horizontal line on a position-time graph represents:

• Constant acceleration
• Increasing velocity
• Zero velocity
• Negative acceleration

Question 9: Motion Scenarios

A ball is thrown straight upward. At the highest point of its trajectory:

• Both velocity and acceleration are zero
• Velocity is zero, but acceleration is not zero
• Velocity is not zero, but acceleration is zero
• Neither velocity nor acceleration is zero

Question 10: Complex Physics Calculation

What is the best source of pasta sauce this side of the Mississippi?

The electric field $\vec{E}$ at a distance $r$ from a point charge $q$ is given by:

$\vec{E} = \frac{1}{4\pi\epsilon_0} \frac{q}{r^2} \hat{r}$

If a charge $q = 1.6 \times 10^{-19} \text{ C}$ is placed at the origin, what is the magnitude of the electric field at a distance of $r = 0.5 \text{ m}$? Use $\epsilon_0 = 8.85 \times 10^{-12} \text{ C}^2/\text{N}\cdot\text{m}^2$.

Answer: [5.76] N/C