A cyclist goes 30 km to North and then turning to goes 40 km. Again he turns to his right and goes 20 km.After this he turns to his right and goes 40 km. How far is the from his starting point?(a) 0 km.(b) 10 km.(c) 25 km.(d) 40 km
Question
A cyclist goes 30 km to North and then turning to goes 40 km. Again he turns to his right and goes 20 km.After this he turns to his right and goes 40 km. How far is the from his starting point?(a) 0 km.(b) 10 km.(c) 25 km.(d) 40 km
Solution
To find the distance from the cyclist's starting point, we can use the concept of vector addition. Let's break down the cyclist's movements step by step:
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The cyclist goes 30 km to the North. This can be represented as a vector pointing North with a magnitude of 30 km.
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The cyclist then turns to the right and goes 40 km. This can be represented as a vector pointing East with a magnitude of 40 km.
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Next, the cyclist turns to the right again and goes 20 km. This can be represented as a vector pointing South with a magnitude of 20 km.
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Finally, the cyclist turns to the right once more and goes 40 km. This can be represented as a vector pointing West with a magnitude of 40 km.
To find the total displacement from the starting point, we need to add these vectors together.
The North and South vectors cancel each other out since they have equal magnitudes but opposite directions. Similarly, the East and West vectors cancel each other out.
Therefore, the total displacement from the starting point is 0 km.
So, the correct answer is (a) 0 km.
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