Respuesta :
Velocity is the rate of change of position of an object. The velocity of the air relative to the runner is 5√2 m/sec and it is in the southwest direction.
What is Velocity?
Velocity is the directional speed of a moving object as an indicator of its rate of change in location as perceived from a certain frame of reference and measured by a specific time standard.
Given that on a day the wind is blowing towards the south at 7 m/s, a runner jogs west at 7 m/s. Therefore, the velocity of the air relative to the runner can be written as,
Relative velocity = √[(Velocity of the jogger)² + (Velocity of the air)²]
= √[(5)² + (5)²]
= √(25 + 25)
= √50
= 5√2 m/sec
The direction of the relative velocity is,
The angle of relative Velocity = Tan(θ)
Tan(θ) = Vertical velocity / Horizontal velocity
Tan(θ) = 5/5
Tan(θ) = 1
θ = tan⁻¹(1)
θ = 45°
Since this angle is formed between the two velocities, therefore, the direction of the velocity is southwest.
Hence, the velocity of the air relative to the runner is 5√2 m/sec and it is in the southwest direction.
Learn more about Velocity here:
https://brainly.com/question/18084516
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