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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

A ball is thrown so that its height is h(t)=−16t2+64th(t) = -16t^2 + 64t (in feet, tt in seconds). When does it return to the ground?

  • A

    t=4t = 4

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  • B

    t=8t = 8

  • C

    t=16t = 16

  • D

    t=2t = 2

Explanation

Set h(t)=0h(t) = 0: −16t(t−4)=0-16t(t - 4) = 0, so t=0t = 0 (start) or t=4t = 4.

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