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Ad libitum [116K]
3 years ago
9

A smoke jumper jumps from a plane that is 1700 ft above the ground. The function y = -16t2 + 1700 gives the jumper's height y in

feet at t seconds. A. How long is the jumper in free fall if the parachute opens at 1000 ft? B. How long is the jumper in free fall if the parachute opens at 940 ft?
Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer: (A) 6.6 sec (B) 6.89 sec

<u>Step-by-step explanation:</u>

    y    = -16t² + 1700

 1000 = -16t² + 1700

 <u>-1700</u>     <u>         -1700  </u>

  -700 = -16t²

 <u> ÷-16  </u>   <u>÷-16 </u>

 43.75 = t²

√43.75 = √t²

   6.6 = t

***********************************

    y    = -16t² + 1700

  940 = -16t² + 1700

 <u>-1700</u>     <u>         -1700  </u>

  -760 = -16t²

 <u> ÷-16  </u>   <u>÷-16 </u>

  47.5 = t²

√47.5 = √t²

  6.89 = t

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Answer:

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Step-by-step explanation:

The number of gallons can be any number of your choosing that is less than 12, which is the capacity of the tank. For the purpose here, 1 is a convenient number. To find the corresponding number of miles (m), you need to solve the proportion ...

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<em>Additional comment</em>

If your sense of symmetry is offended by choosing 1 for Gallons, you can choose 10, a number halfway between 12 and 8. In that case, your proportion is ...

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