# Worksheet: The Relation between the Position Vector and the Displacement Vector

Q1:

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

• Bdistance

Q2:

A truck moved 150 km due east and then 200 km at a direction of . Determine the truck’s displacement, giving its magnitude to the nearest kilometer and its direction to the nearest minute.

• A 350 km, south of east
• B 200 km, north of east
• C 180 km, north of west
• D 304 km, north of east

Q3:

Using the given figure, calculate the distance and the displacement of a body that moves from point to point then returns to point .

• A ,
• B ,
• C ,
• D ,

Q4:

Using the given figure, calculate the distance and the displacement of a body that moves from point to point then returns to point .

• A ,
• B ,
• C ,
• D ,

Q5:

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.

• A 141.25 cm
• B 28.12 cm
• C 278.12 cm
• D 181.25 cm