Delivery Robot Motion Analysis
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9. A delivery robot moves $1.2 \text{ km}$ east, then $300 \text{ m}$ west. The whole trip takes $6$ minutes. a) Convert $1.2 \text{ km}$ into metres. b) Calculate the total distance travelled. c) Calculate the displacement. d) Convert the total time into seconds. e) Calculate the average speed. f) Calculate the average velocity.
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Hi Sinan, let's solve this physics problem about a delivery robot's motion step by step.
Given Information
- Motion 1: $1.2 \; \text{km}$ East
- Motion 2: $300 \; \text{m}$ West
- Total Time: $6 \; \text{min}$
First, for part a, we need to convert one point two kilometers into meters.
a) Convert $1.2 \; \text{km}$ to metres
Multiplying one point two by one thousand, we get twelve hundred meters.
Now for part b, we calculate the total distance travelled. Distance is a scalar quantity, so we simply add the lengths of both paths.
b) Total Distance
That is twelve hundred meters plus three hundred meters, which equals fifteen hundred meters.
In part c, we find the displacement. Displacement is a vector, meaning direction matters. Let's look at a diagram.
c) Calculate Displacement
Since West is opposite to East, we subtract the magnitudes. Twelve hundred minus three hundred gives us a displacement of nine hundred meters to the East.
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