In this worksheet, we will practice differentiating between distance and displacement and finding them.

**Q2: **

What kind of information does this signpost show?

- Aspeed
- Bdistance
- Cvelocity
- Ddisplacement

**Q3: **

What is the name of the vector quantity which gives the total change of a particleβs position?

- Avelocity vector
- Bdistance
- Cacceleration vector
- Ddisplacement

**Q4: **

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

- A
- B
- C
- D

**Q5: **

A particle moving in a straight line has a position vector , defined by the relation , where is the time, measured in seconds, and is a unit vector. Determine the magnitude of the displacement vector in meters after 4 seconds.

**Q6: **

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

**Q7: **

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.

- A 40 m
- B 6 m
- C 12 m
- D 5 m

**Q8: **

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

**Q9: **

A person rode a bicycle 7 km west and then 13 kmβ north of west. Find the total distance covered by the person.

**Q10: **

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

- A metres, south of east
- B metres, north of east
- C metres, north of west
- D metres, north of east
- E 375 metres, north of east

**Q11: **

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 ,

**Q12: **

Given that a ship covered 300 m due west and then 675 m due north, determine its displacement, approximating its angle to the nearest minute.

- A 975 m, south of east
- B 450 m, north of east
- C m, north of west
- D m, north of west

**Q13: **

A bird leaves its nest and flies for 5 kilometres in the direction north of east before stopping to rest in a tree. It then flies 10 kilometres southeast from the tree, landing on top of a telephone pole. Given that the vector represents a displacement of 1 kilometre east and the vector represents a displacement of 1 kilometre north, find the vector that represents the displacement of the telephone pole from the nest.

- A
- B
- C
- D
- E

**Q14: **

A man walks from his house to a bank and then from the bank to a supermarket. Given that the displacement of the bank from his house is represented by the vector and the displacement of the supermarket from the bank is represented by the vector , what does the vector represent?

- Athe displacement of the manβs house from the supermarket
- Bthe total distance the man traveled to the supermarket
- Cthe displacement of the supermarket from the bank
- Dthe displacement of the supermarket from the manβs house
- Ethe displacement of the bank from the supermarket

**Q15: **

You traveled 213 miles from California to San Francisco. Does the β213 milesβ represent distance or displacement?

- ADistance
- BDisplacement

**Q16: **

If you were lost in a forest, would you prefer to know your distance or your displacement from the nearest settlement?

- Adisplacement
- Bdistance

**Q17: **

The displacement of a particle of unit mass is given as a function of time by the relation , where is constant unit vector, measured in centimeters , and in seconds. Given that the particle started its motion at , find the total distance covered in the first 5 seconds of its motion.

**Q18: **

Mason and Amelia started walking from the same point. Mason walked 1 mile southwest and then 3 miles northwest. Amelia walked 3 miles northwest and then 1 mile southwest. What can you say about where they ended up?

- AThey ended up 6 miles apart.
- BThey ended up 2 miles apart.
- CMason is west of Amelia.
- DThey ended up at the same place.
- EThey ended up 4 miles apart.