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The maker of an automobile advertises that it takes 13 seconds to accelerate from 5 kilometers per hour to 65 kilometers per hour. Assuming constant acceleration, compute the acceleration in meters per second per second. Round your answer to three decimal places.

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nuhulawal20

Answer: the acceleration is 1.282 m/s²

 

Explanation:

Given that;

Time t = 13 sec

Initial velocity U = 5 kmph = (5 × 1000)/(60 × 60) = 1.3888 m/s

final velocity V = 65 kmph = (65 × 1000)/(60 × 60) = 18.0555 m/s

Now we know that;

V = U + at

we substitute

18.0555 = 1.3888 + 13a

18.0555 - 1.3888 = 13a

13a = 16.6667

a = 16.6667 / 13

a = 1.282 m/s²

Therefore the acceleration is 1.282 m/s²

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