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.
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.
What kind of information does this signpost show?
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 person ran 160 m east and then 175 m north. Find the total distance covered by the person.
A person rode a bicycle 7 km west and then 13 km north of west. Find the total distance covered by the person.
If you were lost in a forest, would you prefer to know your distance or your displacement from the nearest settlement?
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 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 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 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 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?
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 .
If the position vector of a body at time is given by , find its displacement .
What is the name of the vector quantity which gives the total change of a particle’s position?
You traveled 213 miles from California to San Francisco. Does the “213 miles” represent distance or displacement?