QUESTION IMAGE
Question
- a housefly is flying around a baseball field. at one point, the insect is flying north at 2.3 meters per second. at that instant, a ball is flying past the insect, also going north, at a velocity of 34.0 meters per second. from the flys frame of reference, what was the velocity of the ball?
36.3 m/s
-36.3 m/s
34 m/s
31.7 m/s
Step1: Determine the relative velocity formula
The formula for relative velocity \(v_{rel}=v_{ball}-v_{fly}\) when both are moving in the same direction.
Step2: Substitute the given values
Given \(v_{ball} = 34.0\ m/s\) (velocity of ball) and \(v_{fly}=2.3\ m/s\) (velocity of fly). Then \(v_{rel}=34.0 - 2.3\).
Step3: Calculate the result
\(v_{rel}=31.7\ m/s\)
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31.7 m/s