Question

Two cars drive on a straight highway. At time t=0, car A passes x = 0...

Two cars drive on a straight highway. At time t=0, car A passes x = 0 traveling due east with a speed of 20m/s. At the same time, car B is at x =1000m east of car A traveling at 30m/s due west. Car A is speeding up with an acceleration of 2.5m/s^2, and car B is slowing down with an acceleration of 3.2m/s.

A) Write the equation of motion [xA (t) = ?] for car A.

B) Write the equation of motion [xB (t) = ? ] for car B.

C) When do the cars pass each other?

D) Where do the cars pass each other?

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