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Chapter 2: Q2CQ (page 78)

Under what circumstances does distance travelled equal magnitude of displacement? What is the only case in which magnitude of displacement and displacement are exactly the same?

Short Answer

Expert verified

When an item goes in a straight line in a fixed direction without turning back, it is the only instance where the magnitude of displacement and displacement are precisely the same.

Step by step solution

01

Distance and displacement

Displacement and distance are two variables that may be used to explain how an item moves.

Distance traveled is a scalar quantity representing the entire movement that is traveled. In contrast, displacement is a vector quantity that is the shortest distance between the beginning position and the end location.

02

Further explanation

If we assume that an item travels a distance ofd=6 cm.

And displacement is alsox=6 cm.

It's only conceivable if the object goes in a straight line in a certain direction without returning to it.

Hence it is concluded thatitis the only time when the magnitude of displacement and displacement are exactly the same when an object moves in a straight line in a specific path without turning back.

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Most popular questions from this chapter

In World War II, there were several reported cases of airmen who jumped from their flaming airplanes with no parachute to escape certain death. Some fell about 20,000 feet (6000m), and some of them survived, with few life-threatening injuries. For these lucky pilots, the tree branches and snow drifts on the ground allowed their deceleration to be relatively small. If we assume that a pilot’s speed upon impact was 123 mph (54 m/s), then what was his deceleration? Assume that the trees and snow stopped him over a distance of3.0m.

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