The emergency brake cable in a truck parked on a steep hill breaks and the truck starts rolling down the hill. The distance in feet, d, that the truck rolls is represented by the function d=f(t)=0.5t2. Using this function, find out how far the truck will roll after 9 seconds.

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Step-by-step explanation:

Let be the distance rolled by the truck in time, measured in feet, whose expression is:

Where is the time, measured in seconds.

By evaluating this function at , we find the distance rolled by the truck:

The truck will roll 40.5 feet from top of the hill after 9 seconds.

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step-by-step explanation:

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