A car traveling at 60 mph slams on the brakes to avoid hitting a deer. The car comes to a safe stop 6 seconds after applying the brakes. What is the car’s acceleration?

The acceleration (or deceleration) of the car is calculated using the formula (final velocity - initial velocity) / time. With an initial speed of 60 mph (or 88.5 fps), ending at 0 fps over 6 seconds, the deceleration is -14.75 feet per second square.

Explanation:

In this problem, we apply the principle of acceleration in Physics. Acceleration is defined as the rate of change of velocity per unit of time. In this case, the car is decelerating, or accelerating in the opposite direction of its movement. The initial speed is 60 miles per hour (mph), which is approximately 88.5 feet per second (fps). It comes to a stop, so its final velocity is 0 fps. The change in time is 6 seconds. To find acceleration, we use the formula acceleration = (final velocity - initial velocity) / time.

Thus, the acceleration (or deceleration, in this case) is (0 fps - 88.5 fps) / 6 seconds = -14.75 feet per second square (fps2). The negative sign indicates deceleration. Hence, the car's acceleration is -14.75 fps2.

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