Question

Asked Aug 30, 2019

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Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east with a speed of 20.0 m/s . At the same time, car 2 is 1.0 km east of mile marker 0 traveling at 27.0 m/s due west. Car 1 is speeding up with an acceleration of magnitude 0.30 m/s2 , and car 2 is slowing down with an acceleration of magnitude 0.40 m/s2 .

At what time do the cars pass next to one another?

Step 1

Write the equation of motion for car 1 and substitute 20m/s for v_{1}(0), and 0.30m/s^{2} for a_{1} in the below equation.

Step 2

Write the equation of motion for car 2 and substitute 27m/s for v_{2}(0), and 0.40m/s^{2} for a_{2} in the below equation.

Step 3

Since the final position of the cars will be same as they pass each other, thus Equat...

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