Question

You were 60 meters to the west of your home at 10AM, and then you walked to a shop 150 meters to the east of your home at 10:15AM. After that you walked 30 meters more in the west direction in 5 minutes. Find your final position, total displacement, average speed and average velocity.

Answer 1

Answer on Question #73468 - Physics / Other

You were $S_{1} = 60 \, \text{m}$ to the west of your home at $t_{1} = 10 \, \text{AM}$, and then you walked to a shop 150 meters to the east of your home at 10:15AM. After that you walked 30 meters more in the west direction in 5 minutes. Find your final position, total displacement, average speed and average velocity.

Solution:

Final position is at points C (120 m to the east of your home)

Total displacement $AC = 120 + 60 = 180 \, \text{m}$.

Total distance $AB + BC = 150 + 60 + 30 = 240 \, \text{m}$.

Average speed = $\frac{\text{total disatace}}{\text{total time}} = \frac{240}{15 + 5} = \frac{240}{20} = 12 \, \frac{\text{m}}{\text{min}}$.

Average velocity = $\frac{\text{total displacement}}{\text{total time}} = \frac{180}{15 + 5} = \frac{180}{20} = 9 \, \frac{\text{m}}{\text{min}}$

to the east of your home

Answers:

Final position 120 m to the east of your home

Total displacement 180 m

Average speed = $12 \, \frac{\text{m}}{\text{min}}$

Average velocity = $9 \, \frac{\text{m}}{\text{min}}$ to the east of your home.

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