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A radar gun reads the scalar projection of velocity onto the line-of-sight of a moving object. If the radar gun gives a reading of 60 miles per hour for a vehicle measured by a police officer at an angle 20∘ away from the road, what is the actual speed of the vehicle in miles per hour, rounded to two decimal places?

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cjmejiab

Answer:

56.38mph

Step-by-step explanation:

I attached a Graphic to make easier understand this problem.

However it is just a trigonometric problem, where

[tex]cos \theta = \frac{V}{u} \theta[/tex]

Where \theta is the angle between the line of lecture and the trayectory from the Auto

V= 'Real' Velocity

u = Velocity from Radar.

Solving to V;

[tex]V= u*cos\theta[/tex]

[tex]V= 60 * cos 20[/tex]

[tex]V= 56.38mph[/tex]

Ver imagen cjmejiab

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