What is the relative position, velocity, and acceleration of car B to car A?

AI Thread Summary
Car A is moving east at 20 m/s while car B starts from rest 40 m north of the intersection and accelerates south at 2.0 m/s². After six seconds, the position of car B relative to car A is calculated as r = (120 m)i + (4.0 m)j. To find the relative velocity of car B to car A, one must consider car A as stationary, adjusting its velocity and acceleration accordingly. The discussion emphasizes understanding relative motion to solve for velocity and acceleration effectively. The calculations for velocity and acceleration relative to car A remain unresolved in the thread.
sweet_girl123
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Homework Statement



Car A is traveling east at 20m/s toward the intersection, car B from rest 40 m North of the intersection and moves south steadily gaining speed at 2.0 m/s^2. six second after A crosses the intersection find 1) position of B relative to A 2) the velocity of B relative to A, C) the acceleration of B relative to A...(it should include unit vector i and j)

Homework Equations


none


The Attempt at a Solution


I got the ans for A)
r=(120 m)i + (4.0 m) j
but can't find the rest of it
 
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sweet_girl123 said:

Homework Statement



Car A is traveling east at 20m/s toward the intersection, car B from rest 40 m North of the intersection and moves south steadily gaining speed at 2.0 m/s^2. six second after A crosses the intersection find 1) position of B relative to A 2) the velocity of B relative to A, C) the acceleration of B relative to A...(it should include unit vector i and j)

Homework Equations


none


The Attempt at a Solution


I got the ans for A)
r=(120 m)i + (4.0 m) j
but can't find the rest of it

Alright, when considering "relative" speed, remember that it means that you are pretending that car A is completely stopped. As such, what do you need to do with its velocity and acceleration?
 
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