Q: A car travels 70 m east, then 30 m west. What is the car's total displacement?

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

Question 1

A car travels 70 m east, then 30 m west. What is the car's total displacement?

Accepted Answer

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

Question 2

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Distance is a scalar quantity representing the total path length traveled, while displacement is a vector quantity representing the straight-line change in position from start to finish.

Question 3

A runner completes one full lap around a 400 m circular track, starting and ending at the same point. What is the runner's displacement and distance traveled?

Accepted Answer

Displacement: $$0\ \mathrm{m}$$, Distance: $$400\ \mathrm{m}$$

Question 4

If a car's velocity changes from $$-15.0\ \mathrm{m/s} to$$ $$-5.0\ \mathrm{m/s} in$$ $$2.0\ \mathrm{s}$$, what is its average acceleration?

Accepted Answer

$$+5.0\ \mathrm{m/s^2$}$$

Question 5

Which equation correctly relates displacement $$\Delta x$$, initial velocity $$v_0$$, time $$t$$, and constant acceleration $$a$$?

Accepted Answer

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

Question 6

A cyclist moves with a constant velocity of $$10\ \mathrm{m/s}$$ for $$5\ \mathrm{s}. $$What is the displacement during this time?

Accepted Answer

$$50\ \mathrm{m}$$

Question 7

Which of the following statements about instantaneous velocity is correct?

Accepted Answer

It is the velocity of an object at a specific instant in time, found as the slope of the tangent to the position vs. time graph at that point.

Question 8

A car accelerates uniformly from rest to $$20\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

$$2.5\ \mathrm{m/s^2$}$$

Question 9

Which of the following is NOT a vector quantity?

Accepted Answer

Speed

Question 10

A ball is thrown straight up with an initial velocity of $$15\ \mathrm{m/s}. $$Neglecting air resistance, what is its velocity at the top of its path?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 11

A car moves at $$30\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then at $$10\ \mathrm{m/s}$$ for $$20\ \mathrm{s}. $$What is the average speed for the entire trip?

Accepted Answer

$$16.7\ \mathrm{m/s}$$

Question 12

Which of the following scenarios describes a situation where an object has zero acceleration?

Accepted Answer

A car moving at a constant velocity on a straight road.

Question 13

A train starts from rest and accelerates at $$2\ \mathrm{m/s^2$}$$ for $$10\ \mathrm{s}. $$How far does it travel in this time?

Accepted Answer

$$100\ \mathrm{m}$$

Question 14

Which kinematic equation would you use to solve for final velocity $$v$$ given initial velocity $$v_0$$, acceleration $$a$$, and displacement $$x - x_0$?

Accepted Answer

$$v^2$$ = $$v_0^2 + 2a(x$$ - $$x_0$$)$$

Question 15

A car is moving to the left (negative direction) and slows down. What is the direction of its acceleration?

Accepted Answer

To the right (positive direction)

Question 16

Which of the following best describes the concept of a reference frame in kinematics?

Accepted Answer

A coordinate system from which the position and motion of objects are measured.

Question 17

A car travels $$100\ \mathrm{km}$$ north, then $$100\ \mathrm{km}$$ east. What is the magnitude of its displacement?

Accepted Answer

$$141\ \mathrm{km}$$

Question 18

If an object is at rest, which of the following statements is true?

Accepted Answer

Its velocity and acceleration are both zero.

Question 19

A car's position as a function of time is given by $$x(t) = 2t^2$ + 3t + 1. $$What is the car's instantaneous velocity at $$t = 2\ \mathrm{s}$$?

Accepted Answer

$$11\ \mathrm{m/s}$$

Question 20

Which of the following is a correct interpretation of the area under a velocity vs. time graph?

Accepted Answer

It represents the displacement of the object.

LA_296_Module 2_Kinematics in One Dimension: Distance, Displacement, Speed, Velocity, and Acceleration

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