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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 5/5

Two balls are launched from the same spot with h1(t)=−16t2+64th_1(t) = -16t^2 + 64t and h2(t)=−16t2+80th_2(t) = -16t^2 + 80t. At what time are they at the same height (other than t=0t = 0)?

  • A

    t=0t = 0 only

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  • B

    Never

  • C

    t=1t = 1

  • D

    t=2t = 2

Explanation

−16t2+64t=−16t2+80t-16t^2 + 64t = -16t^2 + 80t gives 64t=80t64t = 80t, so t=0t = 0 only.

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