Question

Emily walks 5 blocks east, 2 blocks north, 3 block west and then 2 blocks south in an hour. Her average velocity is ___ blocks/hours

Answer 1

Answer:

2 blocks/hours

Explanation:

(See the attachment for visual reference on direction & displacement)

Average velocity is total displacement over total time. It can be expressed mathematically as:

$\displaystyle{\vec{v}_{\sf{average}} = \dfrac{\vec{s}_{\sf{total}}}{t_{\sf{total}}}}$

Where $\displaystyle{\vec{v}}$ is velocity and $\displaystyle{\vec{s}}$ is displacement. Note that displacement means changes in position (final position - initial position)

Our initial position is at 0 blocks and then after travelling to the final destination, we see from the picture that it ends at position of 2 blocks. That can be calculated by subtracting 5 by 3 which will equal to 2 blocks.

Therefore:

$\displaystyle{\vec{v}_{\sf{average}} = 2 \ \, \sf{blocks/hours}}$

Answer 2

Answer:

2

Explanation:

I did the quiz :)