Question

Draw a vector diagram to show how it is possible for someone to go on a bike ride, with a displacement of 1 mile south but a total distance of 4 miles. Be sure to label the lengths of the vectors as you draw.

Answer 1

Answer with explanation:

Total Distance travelled =4 miles

It is given that , there is displacement of 1 mile in south direction.

→→Distance travelled can never be Zero, but Displacement can be Zero.

→→ So, you can travel 3 miles, in East direction or West Direction, after travelling a distance of 1 mile in South direction from Origin point.

Answer 2

Explanation:

To answer this question, look at the attached vector diagram, where:

d = 1 is the displacement in miles of the bicycle

b = 2 + c = 2 represent the path of the bicycle composed of a displacement of 2.125 miles to the southeast and then a displacement of 1.875 miles to the northwest.

The displacement vector is the distance between the initial point and the end point of the trajectory. Note that the displacement equals the vector d = 1 mile