The car drives up to the intersection at a speed of 23 m / s. In addition, a motorcycle approaches the intersection along

| January 13, 2021 | education

The car drives up to the intersection at a speed of 23 m / s. In addition, a motorcycle approaches the intersection along a perpendicular road at a speed of 41 m / s relative to the car. What is the speed of the motorcycle relative to the Earth?

Problem data: V1 (vehicle speed when approaching an intersection) = 23 m / s; V1.2 (motorcycle speed relative to the car) = 41 m / s; the vectors of the speeds of the car and the motorcyclist are perpendicular.
The speed of a motorcycle relative to the Earth can be determined using the Pythagorean theorem: V2 = √ (V1.2 ^ 2 – V1 ^ 2).
Let’s perform the calculation: V2 = √ (41 ^ 2 – 23 ^ 2) = √1152 = 33.94 m / s.
Answer: In relation to the Earth, the motorcyclist approaches the intersection at a speed of 33.94 m / s.



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