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I need help solving this physics problem Here is the picture of the problem Two cars are at the starting line of a straight, level

I need help solving this physics problem Here is the picture of the problem

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Two cars are at the starting line of a straight, level racetrack and are about to race each other. Car 1 starts from rest and accelerates at a constant a, m/s . At the same instant, Car 2 starts from rest and accelerates at a constant a2 m/s . During this very brief race, Car 1's constant acceleration is always n times faster than Car 2's (in other words, a; = n x a2). After r seconds have elapsed, Car 1 wins the race and is exactly d meters ahead of Car 2. Please note that Car 1 is d meters ahead of Car 2 only when t = T. By following the lettered sections below, you will derive an equation that solves for a2 and then you will calculate a2 using specific numbers for n,d, and T. You will also solve for Car 1's velocity (v/) in mph as it crosses the finish line and wins the race. (a) For the sections below, please write clearly and neatly, use the method discussed in class to show explicitly any unit conversions the problem requires, and use the GFS method to show and explain your work. Please also write your solution on unruled or engineering paper. Your solution is due in class on Wednesday September 28. (b) Draw a sketch of this problem and the coordinate system you will use, being sure to show the coordinate system's origin. (c) Write down kinematic equation (4) and then apply it to both cars. You should end up with two equations, one for x1 (Car 1's position) and the other for x2 (Car 2's position). Next, simplify these two equations using the information included in this problem's description (the Given). That is to say, explain if any of the terms in these equations are zero. (d) Use the two equations you derived in part (c) plus two other key pieces of information included in the Given to derive and write down the single equation that solves for the constant acceleration a2 of Car 2 (the car that lost the race). This single equation should have the following form: a2 = f (n, d, t) (e) If n = 1.10, d = 43.0 m, and r = 10.7 s, find a2 to three significant figures. (f) To three significant figures, what is the final velocity in mph of Car 1 when it wins this race? Before plugging in any numbers, be sure to write down the kinematic equation you will use to solve for Car 1's final winning velocity vy and then simplify it using the Given. NB: 1 mile = 1609 m. Do not type

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