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Question
jackrabbits are capable of reaching speeds up to 40 miles per hour. how fast is this in feet per second? (round to the nearest whole number.) 5,280 feet = 1 mile 288 feet per second 27 feet per second 132 feet per second 59 feet per second
Step1: Convert miles to feet
We know that 1 mile = 5280 feet, so for 40 miles, we calculate $40\times5280$ feet.
$40\times5280 = 211200$ feet per hour.
Step2: Convert hours to seconds
There are 3600 seconds in an hour (since 1 hour = 60 minutes and 1 minute = 60 seconds, so $60\times60 = 3600$ seconds). To find the speed in feet per second, we divide the number of feet per hour by the number of seconds per hour. So we calculate $\frac{211200}{3600}$.
$\frac{211200}{3600} = 58.666\cdots\approx59$ (rounded to the nearest whole number). Wait, no, wait, let's recalculate. Wait, 40 miles per hour. 1 mile is 5280 feet, so 40 miles is 405280 = 211200 feet per hour. Then divide by 3600 seconds per hour: 211200 / 3600. Let's simplify: divide numerator and denominator by 100: 2112 / 36. Divide numerator and denominator by 12: 176 / 3 ≈ 58.666..., which is approximately 59? Wait, but the options have 59? Wait, the options are 288, 27, 132, 59. Wait, maybe I made a mistake. Wait, no, wait: 40 miles per hour. Let's do the conversion factor correctly. The conversion from miles per hour to feet per second is (miles/hour) (5280 feet/mile) / (3600 seconds/hour). So that's (40 5280) / 3600. Let's compute 405280 = 211200. Then 211200 / 3600. Let's divide numerator and denominator by 100: 2112 / 36. Divide numerator and denominator by 12: 176 / 3 ≈ 58.666..., which is approximately 59. So the answer should be 59 feet per second. Wait, but let's check again. Wait, 1 mile per hour is 5280/3600 = 22/15 ≈ 1.4667 feet per second. Then 40 miles per hour is 40*(22/15) = (880)/15 = 58.666... ≈ 59. Yes, so that's correct.
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59 feet per second (the option with "59 feet per second")