The position vectors (in km) of three towns are ,

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

The position vectors (in km) of three towns are

\mathbf r_A = 3\,\hat{\mathbf{i}} - 2\,\hat{\mathbf{j}}

\mathbf r_B = -1\,\hat{\mathbf{i}} + 4\,\hat{\mathbf{j}}

, and

\mathbf r_C = 5\,\hat{\mathbf{i}} + \hat{\mathbf{j}}

. A vehicle starts from

A

, travels to

B

, and then to

C

. What is the ratio of the total distance travelled to the magnitude of the resultant displacement from

A

C

(rounded to one decimal place)? (a)

3.0

(b)

3.9

(c)

4.5

(d)

2.8