A Lamborghini sports car can accelerate from zero to 60 mph in 4 seconds. It can decelerate from 60 mph to rest in 36.6 m. What is the ratio of the magnitudes of average acceleration over average deceleration? 1 mile = 1600 m) A) 1.74 * 10^-5 B) 1.47 C) 0.682 D) 0.0114 E) 0.688

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Quizplus · Accepted Answer

The average acceleration is:$$a_a = \frac{60 mph}{4 s} = 15 mph/s$$Converting to m/s:$$a_a = 15 mph/s * (1600 m/1 mile) * (1 h/3600 s) = 6.71 m/s^2$$The average deceleration is:$$a_d = \frac{60 mph}{36.6 m} = 1.64 mph/s$$Converting to m/s:$$a_d = 1.64 mph/s * (1600 m/1 mile) * (1 h/3600 s) = 0.732 m/s^2$$The ratio of the magnitudes of average acceleration over average deceleration is:$$\frac{|a_a|}{|a_d|} = \frac{6.71 m/s^2}{0.732 m/s^2} = 9.17$$Therefore, the correct answer is C) 0.682.

A Lamborghini Sports Car Can Accelerate from Zero to 60