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16 August, 09:35

The speed of a toy car over time can be represented by a parabola with minimum speed 2 m/s after 3 seconds. After 5 seconds, the car's speed is 3 m/s. What is the equation in vertex form of a parabola that represents the car's speed, y, over time, x?

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  1. 16 August, 12:02
    0
    Step-by-step explanation:

    y=ax²+bx+c

    x=0, y=0, c=0

    y=ax²+bx

    2=9a+3b (*-5)

    3=25a+5b (*3)

    add

    9-10=75a-45a+15b-15b

    30a=-1

    a=-1 / (30)

    2=9 * (-1/30) + 3b

    3b=2+3/10=23/10

    b=23/30

    y=-1/30 x²+23/30=-1/30 (x²+23x + (23/2) ²) + 1/30 * (529/4)

    y=-1/30 (x+23/2) ²+529/120
  2. 16 August, 12:18
    0
    You have to solve x multiplying y
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