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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

A ball's height is h(t)=−5t2+20t+1h(t) = -5t^2 + 20t + 1 (meters). What is the maximum height?

  • A

    1111

  • B

    2121

    check_circle
  • C

    2020

  • D

    2525

Explanation

Vertex t=−20/(−10)=2t = -20/(-10) = 2, h(2)=−20+40+1=21h(2) = -20 + 40 + 1 = 21 m.

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