The brakes on your car can slow you at a rate of5.2m/s 2 . a)If you are going137

Question

The brakes on your car can slow you at a rate of5.2m/s2. a)If you are going137km/h and suddenly see a state trooper,what is the minimum time in which you can get your car under the90km/h speed limit? (The answer reveals the futility of braking tokeep your high speed from being detected with a radar or lasergun.) b)Graph x versus t and v versus t for such slowing. The brakes on your car can slow you at a rate of5.2m/s2. a)If you are going137km/h and suddenly see a state trooper,what is the minimum time in which you can get your car under the90km/h speed limit? (The answer reveals the futility of braking tokeep your high speed from being detected with a radar or lasergun.) b)Graph x versus t and v versus t for such slowing.

Explanation / Answer

5.2 m/s2 * 1km/1000 m * (3600 s/hr)2 = 12960km/hr2 a) v = v0 + a*t =>    90 km/h =137 km/h - 12960*t t = .00362 hr * 3600 s/hr = 13.05 s b) v varies linearly, x varies quadratically.

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