Answer :
The question is about Distance Calculation. The car's distance during brake engagement can be calculated by first converting the car's speed from mph to fps, and then multiplying this by the brake engagement time. For example, a car going 50 mph (approx 73.33 fps) for 5 seconds would travel approximately 366.65 feet.
Distance calculation refers to the process of measuring the spatial separation between two points in a physical or abstract space. This can be achieved using various mathematical formulas and techniques, depending on the context. In geography, the Haversine formula calculates distances between latitude and longitude coordinates, while in mathematics, the Euclidean distance formula is used to measure straight-line distances in a Cartesian plane. Distance calculations are vital in various fields, including navigation, logistics, and data analysis, where knowing the precise separation between points is crucial for decision-making and problem-solving.
To find out how far the car traveled during brake engagement, we need to convert the car's speed from miles per hour (mph) to feet per second (fps). Considering, 1 mile is approximately 5280 feet and 1 hour is 3600 seconds, a speed of 50 mph is equivalent to around 73.33 fps.
Next, I assume that question 8 provided a brake engagement time. You simply multiply the speed in fps by the brake engagement time in seconds to calculate the distance covered during this time.
For example, if our brake engagement time was 5 seconds, the calculation would be: 73.33 fps x 5 seconds = 366.65 feet. Therefore, the car would travel approximately 366.65 feet during the brake engagement time, rounded to two decimal places.
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Final answer:
The car traveled a distance of 300 feet during the brake engagement time.
Explanation:
To calculate the distance traveled during the brake engagement time, we can use the formula:
distance = (initial velocity * time) + (0.5 * acceleration * time^2)
In this case, the initial velocity is the car's speed in feet per second, and the time is the brake engagement time.
Let's assume the car's speed is 60 feet per second and the brake engagement time is 5 seconds.
Plugging these values into the formula, we get:
distance = (60 * 5) + (0.5 * 0 * 5^2)
Simplifying the equation, we have:
distance = 300 + 0
Therefore, the car traveled a distance of 300 feet during the brake engagement time.
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