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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)=−16t2+32t+48h(t) = -16t^2 + 32t + 48. At what time does the ball hit the ground?

  • A

    t=4t = 4

  • B

    t=1t = 1

  • C

    t=3t = 3

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  • D

    t=2t = 2

Explanation

−16t2+32t+48=0-16t^2 + 32t + 48 = 0, t2−2t−3=0t^2 - 2t - 3 = 0, (t−3)(t+1)=0(t-3)(t+1) = 0, t=3t = 3.

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