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18 October, 00:15

An egg is thrown off the top of a building. Its height in meters above

the ground can be approximated by the polynomial 300 + 2t - 4.9t",

where t is the time since it was thrown in seconds.

a. How high is the egg above the ground after 5 seconds?

b. How high is the egg above the ground after 6 seconds?

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  1. 18 October, 00:35
    0
    Answer: a) 187.5 m

    b) 135.6 m

    Step-by-step explanation:

    Hi, to solve this problem we simply have to replace the variable "t" in the equation by the values given in each option.

    h (height) = 300 + 2t - 4.9t²

    For a) t = 5 sec

    Replacing 5 for t, and solving for h:

    h = 300 + 2 (5) - 4.9 (5) ² = 300 + 10 - 122.5=187.5 m

    Repeating the process:

    For b) t=6 sec

    h = 300 + 2 (6) - 4.9 (6) ² = 300 + 12 - 176.4=135.6 m

    Feel free to ask for more if needed or if you did not understand something.
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