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The brakes on your automobile are capable of creating a deceleration of 5.0 m/s

ID: 1528239 • Letter: T

Question

The brakes on your automobile are capable of creating a deceleration of 5.0 m/s2. If you are going 117 km/hand suddenly see a state trooper, what is the minimum time in which you can get your car under the 89 km/hspeed limit? (The answer reveals the futility of braking to keep your high speed from being detected with a radar or laser gun.) The brakes on your automobile are capable of creating a deceleration of 5.0 m/s2. If you are going 117 km/hand suddenly see a state trooper, what is the minimum time in which you can get your car under the 89 km/hspeed limit? (The answer reveals the futility of braking to keep your high speed from being detected with a radar or laser gun.)

Explanation / Answer

here,

the maxiumum deaccelration , a = 5 m/s^2

initial speed , u = 117 km/h

u = 32.5 m/s

finals speed , v = 89 km/h

v = 24.7 m/s

let the time taken be t

v = u + a * t

24.7 = 32.5 - 5 * t

t = 1.6 s

the time taken is 1.6 s

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