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Ad libitum [116K]
2 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]2 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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Lets take Gregs weight as “x”. This means that Justins weight is x-15, and x/2 = (x-15)-75.

If we take that last equation, lets combine like terms:

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Now multiply both sides by 2 to get rid of the fraction
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x = 180 — this is Gregs weight

Justins weight is x-15, so 180-15, which is 165 pounds. Hope this helped.
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