The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to re

Question

The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to reach a height of 32,500 feet?

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Thanh Hà 6 months 2021-09-04T21:58:02+00:00 1 Answers 1 views 0

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    2021-09-04T21:59:03+00:00

    Answer:

    It will take 50 seconds for the pebble to reach the height

    Step-by-step explanation:

    To calculate the time, simple substitute h(t) for 32,500

    So we have

    32,500 = 20,000 + 5t^2

    5t^2 = 32,500-20,000

    5t^2 = 12500

    t^2 = 12500/5

    t^2 = 2500

    t = square root of 2500

    t = 50 seconds

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