Two cars drive on a straight highway. Attime t = 0, car 1 passes mile marker 0 t

Question

   Two cars drive on a straight highway. Attime t = 0, car 1 passes mile marker 0 traveling due eastwith a speed of 23.0 m/s. At the sametime, car 2 is 0.9 km east of mile marker0 traveling at 30.0 m/s due west. Car 1 is speeding up with anacceleration of magnitude 2.7m/s2 and car 2 is slowing down with an acceleration ofmagnitude 2.6 m/s2. Writeequations of motion for both cars, choosing east as the positivedirection and using t for time (in seconds). Car 1? Car 2? Please give as much detail as possible! Thank you somuch!    Two cars drive on a straight highway. Attime t = 0, car 1 passes mile marker 0 traveling due eastwith a speed of 23.0 m/s. At the sametime, car 2 is 0.9 km east of mile marker0 traveling at 30.0 m/s due west. Car 1 is speeding up with anacceleration of magnitude 2.7m/s2 and car 2 is slowing down with an acceleration ofmagnitude 2.6 m/s2. Writeequations of motion for both cars, choosing east as the positivedirection and using t for time (in seconds). Car 1? Car 2? Please give as much detail as possible! Thank you somuch!

Explanation / Answer

The distance of car 1 from the origin at time t is givenby s1 = v01 t + 1/2 a t2 = 23m/s * t + 1/2 * 2.7 m/s2 * t2 Likewise the distance of car 2 from the specified originat time t is s2 = s0 + v02 t + 1/2 a t2 = .9 * 10E3 m +30 m/s * t - 1/2 * 2.6 m/s2 * t2 Likewise the distance of car 2 from the specified originat time t is s2 = s0 + v02 t + 1/2 a t2 = .9 * 10E3 m +30 m/s * t - 1/2 * 2.6 m/s2 * t2

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