Answer :

Final answer:

The student's question pertains to calculating the deceleration of a race car entering a curved track. Using the formula for acceleration, we find that the race car's deceleration is -2.84 m/s², with the negative sign indicating a decrease in speed.

Explanation:

The question involves determining the deceleration of a race car as it enters a curve. The car's speed decreases from 45.1 m/s to 36.6 m/s over a period of 2.99 seconds. To find the magnitude of the car's acceleration, which is a vector quantity, one would use the following formula:

a = ∆v / ∆t

Where a represents acceleration, ∆v is the change in velocity (final velocity - initial velocity), and ∆t is the change in time. In this case, the deceleration (negative acceleration) can be calculated as:

(36.6 m/s - 45.1 m/s) / 2.99 s = -8.5 m/s² / 2.99 s = -2.84 m/s²

The negative sign indicates that the car is slowing down, which is expected when it's decelerating upon entering a curve.

Learn more about Deceleration here:

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