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Answer :
The resultant vector is 60.2 meter in a direction 48.6° North of west.
What are resultant vectors?
Resultant vectors are the product of the addition of two or more vectors.
The resultant vector is obtained by vector addition methods such as:
- Triangle vector addition method
- Parallelogram law of vector addition
- Direct addition
Considering the vector addition problem given:
Harry travels 40 meters east and then 45 meters south to catch the snitch in a quidditch match. At the same time, Voldemort who was 40 meters away, came racing 30 meters west towards Harry, then he went south of west at 25 degrees crashing into harry.
The resultant vector of both Harry and Voldemort are the same since the crashed into each other.
Using Harry's movement, the motion forms a right angle triangle of sides 40 m and 45 m
Using Pythagoras' rule:
R = √(40² + 45²)
R = 60.2 meter
α = tan⁻¹(40/45)
α = 41.6
θ = 90 - 41.6
θ = 48.6°
Therefore, the resultant vector is 60.2 meter in a direction 48.6° North of west.
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