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Worksheet: Distance and Displacement
Q2:
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.
Q3:
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
Q4:
What kind of information does this signpost show?
- Aspeed
- Bdistance
- Cvelocity
- Ddisplacement
Q5:
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
Q6:
A person ran 160 m east and then 175 m north. Find the total distance covered by the person.
Q7:
A person rode a bicycle 7 km west and then 13 kmβ north of west. Find the total distance covered by the person.
Q8:
If you were lost in a forest, would you prefer to know your distance or your displacement from the nearest settlement?
- Adisplacement
- Bdistance
Q9:
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
Q10:
A car moved 150 meters east and then 225 meters north. Find the magnitude and direction of its displacement, rounding the angle to the nearest minute.
- A meters, south of east
- B meters, north of east
- C meters, north of west
- D meters, north of east
- E375 meters, north of east
Q11:
A bird leaves its nest and flies for 5 kilometers in the direction north of east before stopping to rest in a tree. It then flies 10 kilometers southeast from the tree, landing on top of a telephone pole. Given that the vector represents a displacement of 1 kilometer east and the vector represents a displacement of 1 kilometer north, find the vector that represents the displacement of the telephone pole from the nest.
- A
- B
- C
- D
- E
Q12:
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
Q13:
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
Q14:
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 ,
Q15:
If the position vector of a body at time is given by , find its displacement .
- A
- B
- C
- D
Q16:
What is the name of the vector quantity which gives the total change of a particleβs position?
- Avelocity vector
- Bdistance
- Cacceleration vector
- Ddisplacement
Q17:
You traveled 213 miles from California to San Francisco. Does the β213 milesβ represent distance or displacement?
- ADistance
- BDisplacement