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An object's speed increases from 10.5 km/h to 99.8 km/h in 2.41 seconds. Calculate the acceleration in \(\text{m/s}^2\) and express your answer to 3 significant figures.

Answer :

Final answer:

The acceleration of the object is calculated by converting the speeds into m/s and using the formula for acceleration. The answer is 10.3 m/s² to three significant figures.

Explanation:

To calculate the acceleration, first, we need to convert the speeds from km/h to m/s because the standard unit of acceleration is m/s² .

1 km/h = 0.278 m/s.

So, initial speed is 10.5 km/h = 2.92 m/s and final speed is 99.8 km/h = 27.72 m/s.

Acceleration is calculated using the formula : Acceleration = (Final speed - Initial speed) / Time taken

Substituting the given values into the equation, we will get Acceleration = (27.72 m/s - 2.92 m/s) / 2.41 s = 10.3 m/s².

Therefore, the acceleration of the object is 10.3 m/s² to three significant figures.

Learn more about Acceleration here:

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