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Chapter 1: Problem 94

You are driving \(65 \mathrm{mi} / \mathrm{h}\) and take your eyes off the road for "just a second." What distance (in feet) do you travel in this time?

Short Answer

Expert verified
While driving at 65 mi/h, the car would travel about \(95.33\) feet in one second with eyes off the road.

Step by step solution

01

Convert the speed from miles per hour to feet per second

We will first convert the speed from miles per hour to feet per hour. Since there are 5280 feet in a mile, we can convert by multiplying the speed in miles per hour by 5280. Speed in feet/hour = 65 mi/h * 5280 ft/mi Now we need to convert the speed in feet/hour into feet/second. Since there are 3600 seconds in an hour, we can convert by dividing the speed in feet/hour by 3600. Speed in feet/second = (65 mi/h * 5280 ft/mi) / 3600 s/h
02

Calculate the distance travelled in one second

Now that we know the speed in feet per second, we will multiply it by the time to find out the distance travelled in feet during one second. Distance travelled in feet = Speed in feet/second * time in seconds Here, the time is 1 second. So, Distance travelled in feet = ((65 mi/h * 5280 ft/mi) / 3600 s/h) * 1 s
03

Simplify and compute the answer

Now, all we need to do is simplify the expression and compute the answer. Distance travelled in feet = (65 * 5280) / 3600 Distance travelled in feet ≈ 95.33 feet Hence, while driving at 65 mi/h, the car would travel about 95.33 feet in one second with eyes off the road.

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