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A mobile clinic was called to a community. It would take the mobile clinic a quarter of an hour to reach the remote community 800 meters away. If it moves 20meters per second, determine the acceleration of the mobile clinic en route to the community.

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Final answer:

The acceleration of the mobile clinic en route to the community is 0.022 m/s².

Step-by-step explanation:

To determine the acceleration of the mobile clinic en route to the community, we can use the equation:

a = \frac{{v - u}}{{t}}

Where a is the acceleration, v is the final velocity, u is the initial velocity, and t is the time taken.

In this case, the clinic's initial velocity is 0 m/s and its final velocity is 20 m/s. The time taken to cover the 800-meter distance is 15 minutes, which is equivalent to 900 seconds. Using the equation, we have:

a = \frac{{20 - 0}}{{900}}

Simplifying the equation gives us:

a = 0.022 \, \text{{m/s}}^2

Therefore, the acceleration of the mobile clinic en route to the community is 0.022 m/s².