Question 1

A car travels from point A to point B, then returns to point A. If the total distance covered is 100 km, what is the net displacement?

Accepted Answer

$$0\ \mathrm{km}$$

Question 2

Which of the following statements is TRUE regarding distance and displacement?

Accepted Answer

Distance is always greater than or equal to the absolute value of displacement.

Question 3

A runner moves 30 m east, then 40 m west. What is the total distance and net displacement?

Accepted Answer

Total distance: $$70\ \mathrm{m}$$, Net displacement: $$-10\ \mathrm{m}$$

Question 4

Which equation correctly defines instantaneous velocity?

Accepted Answer

$$v(t) = \frac{dx}{dt}$$

Question 5

A ball is thrown straight up with initial velocity $$v_0. $$Ignoring air resistance, which equation gives its position as a function of time?

Accepted Answer

$$x(t) = \frac{1}{2} a t^2$ + v_0$ t + x_0$

Question 6

A car accelerates from rest at $$2\ \mathrm{m/s^2$}$$ for $$5$$ seconds. What is its final velocity?

Accepted Answer

$$v = 10\ \mathrm{m/s}$$

Question 7

Which of the following is a correct kinematic equation for displacement under constant acceleration?

Accepted Answer

$$\Delta x = \frac{(v^2$ - v_0$^2)}{2a}$$

Question 8

If an object is slowing down, what can be said about the signs of its velocity and acceleration?

Accepted Answer

They have opposite signs.

Question 9

A projectile is launched horizontally from a cliff. Which statement is correct about its horizontal velocity?

Accepted Answer

It remains constant throughout the motion.

Question 10

In 2D motion with constant acceleration, which equation gives the $$y-$$component of position?

Accepted Answer

$$y(t) = \frac{1}{2} a_y t^2$ + v_{0y} t + y_0$

Question 11

A person walks $$5\ \mathrm{m}$$ north, then $$12\ \mathrm{m}$$ east. What is the magnitude of their net displacement?

Accepted Answer

$$13\ \mathrm{m}$$

Question 12

Which of the following is NOT a vector quantity?

Accepted Answer

Distance

Question 13

A cyclist moves with a constant velocity of $$8\ \mathrm{m/s}$$ for $$10$$ seconds. What is the total distance traveled?

Accepted Answer

$$80\ \mathrm{m}$$

Question 14

Which of the following best describes uniform linear motion?

Accepted Answer

Motion with constant velocity.

Question 15

If a car moves with a velocity of $$20\ \mathrm{m/s}$$ east for $$2$$ seconds, what is its displacement?

Accepted Answer

$$40\ \mathrm{m}$$ east

Question 16

Which of the following is the correct definition of average speed?

Accepted Answer

Total distance divided by total time interval.

Question 17

A train moves $$100\ \mathrm{km}$$ north, then $$100\ \mathrm{km}$$ south. What is its average velocity if the trip takes $$4$$ hours?

Accepted Answer

$$0\ \mathrm{km/h}$$

Question 18

Which of the following is TRUE about instantaneous acceleration?

Accepted Answer

It is the derivative of velocity with respect to time.

Question 19

A ball is dropped from rest and falls freely under gravity. Which equation gives its velocity after time $$t$$?

Accepted Answer

$$v(t) = -g t$$

Fundamental Concepts in Kinematics, Dynamics, and Energy (Lecture Summaries 1–14)

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