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Chapter 3: Q. 1 (page 77)

Can the magnitude of the displacement vector be more than the distance traveled? Less than the distance traveled? Explain

Short Answer

Expert verified

Displacement cannot be larger than the distance traveled but it can be less than it.

Step by step solution

01

Step 1. Given information

The given statement is:

Can the magnitude of the displacement vector be more than and less than the distance traveled ?

02

Step 2.  Define the displacement

Displacement vector is the shortest distance traveled. It is the straight line connecting initial and final point of the position vector during a given motion

03

Step 3. Conclusion  

So, the displacement cannot be larger than the distance traveled but it can be less than it.

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Most popular questions from this chapter

Let A→=3.0m,20∘southofeast,B→=2.0mnorthandC→=5.0m,70∘southofwest. a.Draw and label A→,B→andC→with their tails at the origin. Use a coordinate system with the x-axis to the east.

b. Write A→,B→andC→in component form, using unit vectors.

c. Find the magnitude and the direction ofD→=A→+B→+C→.

II Draw each of the following vectors, label an angle that specifies the vector's direction, then find its magnitude and direction.

a.B=−4i^+4j^

b.r→=(−2.0i^−1.0j^)cm

c.v→=(−10i^−100j^)m/s

d.a=(20i^+10j^)m/s2

For the three vectors shown in FIGURE EX3.20, A→+B→+C→=1j^.What is vector B→?

a. Write B→in component form.

b. Write B→as a magnitude and a direction.

Can a vector have zero magnitudes if one of its components is nonzero? Explain.

Are the following statements true or false? Explain your answer.

a. The magnitude of a vector can be different in different coordinate systems.

b. The direction of a vector can be different in different coordinate systems.

c. The components of a vector can be different in different coordinate systems.
See all solutions

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