An ant travels a distance of 8cm from P to Q and then moves a distance of 6cm at right angles to PQ.Find it's resultant displacement
Answers
Answered by
3
Answer:
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Explanation:
The ant travels a distance of 8 cm in a straight line from p to q and then moves 6 cm perpendicularly to the line pq.
Then the resultant displacement of the ant from p is the hypotenuse of the right angled triangle that is created by this movement.
Therefore, as per the mathematical formula, hypotenuse2 = 82 + 62 = 100.
Hence, the displacement of the ant = √100 = 10 cm, which is the longest side of a triangle.
Answered by
6
Answer:
10 cm
Explanation:
Given :
- Distance of 8 cm is travelled from P to Q
- The ant then moves 6 cm in right angle to it
To find :
- Resultant displacement
Displacement is nothing but defined as the shortest distance covered by an object
So here Displacement will be equal to the Hypotenuse of the right triangle formed
So,
PQ²+QR²=PR²
8²+6²=PR²
64+36=PR²
100=PR²
PR = √ 100
PR = 10 cm
Hence the resultant Displacement will be equal to 10 cm
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