6. An accelerometer is used to measure the constant acceleration of a race car that covers a quarter mile in 7.2 s. a. Using x = at²/2 to relate distance, x, acceleration, a, and time, t, find the acceleration in ft/s². b. Express this acceleration in m/s². c. Find the car speed, v, in m/s at the end of the quarter mile using the relation v2 = 2ax. d. Find the car energy in joules at the end of the quarter mile if it weighs 2000 lb, where the energy W = mv²/2.
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A quarter mile is 1320 feet. We can plug this into the equation x = at^2/2 to solve for a: 1320 ft = a * (7.2 s)^2 / 2 2640 ft = a * 51.84 s^2 a = 2640 ft / 51.84 s^2 a = 50.93 ft/s^2 b. To convert this acceleration to m/s^2, we use the conversion factor 1 ft = Show more…
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