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Q.

A cyclist travels a distance of 4 km from a to b and then moves a distance of 3 km at right angle to ab. Find his displacement?


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a

6 km

b

5 km

c

4 km

d

3 km 

answer is B.

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Detailed Solution

A cyclist travels a distance of 4 km from a to b and then moves a distance of 3 km at right angle to ab. The displacement of the cyclist is 5 km.
According to the information provided, the biker covered 4 km before covering 3 km. When represented graphically, these are perpendicular to one another and create a triangle.
Question ImageThe given vectors are b and a, where b=4 and a=3. Thereby, we have resultant displacement, c2=b2+a2
R=42+32
    =16+9
    =25
    =5 km, since displacement can never be negative.
 
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A cyclist travels a distance of 4 km from a to b and then moves a distance of 3 km at right angle to ab. Find his displacement?