A common statistic in car tests is the standing starting from rest) quarter-mile performance. A modern sports car can achieve a terminal speed speed at the end of the quarter-mile) of 120 mph 193 km/h). How does the average acceleration compare to g? 0.25 mile = 402 m)
A) 0.36 g
B) 2.8 g
C) 0.067 g
D) 3.57 g
E) 0.73 g

Question

Quizplus · Accepted Answer

The correct answer is A.The average acceleration can be calculated using the formula:a = (v^2 - u^2) / 2swhere:a is the accelerationv is the final velocityu is the initial velocitys is the distanceIn this case, the final velocity is 120 mph, the initial velocity is 0 mph, and the distance is 0.25 miles.Converting the units to SI units:v = 120 mph * 1609.34 m/mile * 1 h/3600 s = 53.64 m/su = 0 m/ss = 0.25 miles * 1609.34 m/mile = 402.34 mPlugging these values into the formula, we get:a = (53.64^2 - 0^2) / 2 * 402.34 = 3.57 m/s^2Dividing by g, we get:a/g = 3.57 m/s^2 / 9.81 m/s^2 = 0.36Therefore, the average acceleration is 0.36 g.

A Common Statistic in Car Tests Is the Standing Starting