A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,180 where p

Question

A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,180 where p is the number of passengers in the car. The potential energy of the car is calculated using the function E(m) = 9.8mh, where h is the height of the ramp.

If the top of the ramp is 30 meters, which function can be used to calculate the potential energy of a car in terms of the number of passengers?

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Emery 3 months 2022-02-03T03:20:33+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-02-03T03:21:52+00:00

    Answer:

    its A on edge2021

    Step-by-step explanation:

    0
    2022-02-03T03:21:57+00:00

    Answer:

    [tex]E(p)=51,450p+346,920[/tex]

    Step-by-step explanation:

    The function

    [tex]m(p) = 175p + 1,180[/tex]

    gives the mass of the car as a function of the number of passengers in it.

    And the function

    [tex]E(m) = 9.8m*h[/tex]

    gives the potential energy of the car as a function of the car’s mass.

    Now if the height of the ramp is 30 meters, we have

    [tex]E(m) =9.8m*(30)[/tex]

    [tex]E(m) =294m[/tex]

    And to find the potential energy as a function of the number of passengers, we just substitute [tex]m(p)[/tex] into [tex]E(m)[/tex] to get:

    [tex]E(m(p))=294(175p+1180)[/tex]

    [tex]\boxed{ E(p)=51,450p+346,920}[/tex]

    which gives the potential energy as a function of the number of passengers.

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