What is the Bug's Velocity Relative to the Road?

AI Thread Summary
The discussion centers on calculating the velocity of a bug relative to the road while inside a car moving eastward at 12.0 m/s. When the bug flies eastward at 2.0 m/s relative to the car, its speed relative to the road is 14.0 m/s. Conversely, if the bug flies westward, its speed relative to the road becomes 10.0 m/s, as the westward movement is treated as a negative value. The conversation also touches on the concepts of average acceleration and how it is determined by changes in velocity over time. Understanding relative velocity is crucial for solving these types of problems effectively.
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Homework Statement


car moving 12.0m/sec eastward on straight road. inside car, bug is flying eastward at 2.0m/s relative to the car. how fast is the bug moving relative to the road? repeat for the bug moving westward.


Homework Equations





The Attempt at a Solution



i assume the westward movement will be a negative ratio
 
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You know how relative velocity works?

Its like this:

V1(Relative velocity of body 'a' wrt to body 'b') = V2(Velocity of body 'a' wrt ground) -
V3(Velocity of body 'b' wrt ground)

Yes the westward movement will be -ve quantity if u take the eastward motion of car as +ve.
 
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what about average acceleration? is that distance/time?
 
Change in displacement over time is velocity. Changes in velocity over time is acceleration.

Average acceleration is the average acceleration over a period of time, say t1 (10.30am) and t2 (10.32am). Then if the velocity v1 at t1 was 40km/hr and the velocity v2 at time t2 was 30km/hr, the average acceleration would be:

(v2-v1) divided by (t2-t1) = (-10km/hr) per (2 mins) = -5 km/hr per min
which is interpreted as a slow down of 5km/hr in velocity every minute, over the past 2 minutes.
 
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