Graph of Projectile Motion

Discussion in 'Algebra' started by nycmathguy, Jul 4, 2021.

  1. nycmathguy

    nycmathguy

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    See attachment.

    Part (a)

    I say h is a function of t because the value of h depends on the value of t. So, t is the independent variable and h is the dependent variable.

    Part (b)

    The height of the projectile after 0.5 seconds is 20 feet.

    The height of the projectile after 1 25 seconds is 25 feet.

    Part (c)

    The domain of h is [0, 2.5].

    Part (d)

    Part (a) above tells us that h is a function of t and not vice-versa. Part (a) also gives us a precise reason why t cannot be a function of h.

    You say?

    20210703_201753.jpg
     
    nycmathguy, Jul 4, 2021
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  2. nycmathguy

    MathLover1

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    my preference and correction
    Part (a)
    h is a function of t, because for each input h , there is only one output t
    that graph will pass vertical line test=> h is a function of t

    Part (b)

    correction for the height of the projectile after 1. 25 seconds

    it is 30 feet (look for 1. 25 which is half way between 1.0 and 1.5)
     
    MathLover1, Jul 4, 2021
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  3. nycmathguy

    nycmathguy

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    Ok. Is my domain correct?
     
    nycmathguy, Jul 4, 2021
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  4. nycmathguy

    MathLover1

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    rest is correct
     
    MathLover1, Jul 4, 2021
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  5. nycmathguy

    nycmathguy

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    Very cool. I may post a few more questions from Section 1.5 later on today. In any case, Happy 4th of July to you and your family.
     
    nycmathguy, Jul 4, 2021
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