# Lesson Worksheet: Position, Displacement, and Distance Mathematics

In this worksheet, we will practice differentiating between position, displacement, and distance traveled, including problems that use vector notation.

Q1:

You traveled 213 miles from California to San Francisco. Does the “213 miles” represent distance or displacement?

• BDistance

Q2:

Using the given figure, calculate the distance, , covered by a body that moves from point to point then returns to point and its displacement, . • A,
• B,
• C,
• D,

Q3:

A person ran 160 m east and then 175 m north. Find the total distance covered by the person.

Q4:

A car moved east and then north. Find the magnitude and direction of its displacement, rounding the angle to the nearest minute.

• A meters, north of east
• B meters, north of west
• C375 meters, north of east
• D meters, south of east
• E meters, north of east

Q5:

According to the figure, a body moved from to along the line segment , and then it moved to along . Finally, it moved to along and stopped there. Find the distance covered by the body and the magnitude of its displacement . • A,
• B,
• C,
• D,

Q6:

A particle started moving in a straight line. After seconds, its position relative to a fixed point is given by Find the displacement of the particle during the first five seconds.

• A5 m
• B6 m
• C40 m
• D12 m

Q7:

If the position vector of a body at time is given by , find its displacement .

• A
• B
• C
• D

Q8:

The position vector of a particle relative to the point is given by the relation , where is a fixed unit vector and is the time. Find the displacement of the particle after 3 seconds.

• A
• B
• C
• D
• E

Q9:

A moving particle has a position vector given by the relation , where and are the unit vectors. Find the magnitude of the particle’s displacement during the interval 2 to 6 seconds.

• A
• B
• C
• D
• E

Q10:

Using point and direction vector , give the position vector of the point on this line corresponding to parameter .

• A
• B
• C
• D

This lesson includes 37 additional questions and 171 additional question variations for subscribers.