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At high speeds, a particular automobile is capable of an acceleration of about 0.540 m/s^2. At this rate, how long (in seconds) does it take to accelerate from 91.0 km/hr to 104 km/hr?

Respuesta :

Answer:

t = 6.68 seconds

Explanation:

The acceleration of the automobile, [tex]a=0.54\ m/s^2[/tex]

Initial speed of the automobile, u = 91 km/hr = 25.27 m/s

Final speed of the automobile, v = 104 km/hr = 28.88 m/s

Let t is the time taken to accelerate from u to v. It can be calculated as the following formula as :

[tex]t=\dfrac{v-u}{a}[/tex]

[tex]t=\dfrac{28.88-25.27}{0.54}[/tex]

t = 6.68 seconds

So, the time taken by the automobile to accelerate from u to v is 6.68 seconds. Hence, this is the required solution.

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