Given h(t ) = - 16t^2 + 3 2 t + 48
Divide through by 16,
-t^2 + 2t + 3 =0
Re-arranging, we have:
t^2 - 2t - 3 = 0,
t ^ 2 + t - 3t - 3= 0
t ( t + 1 ) - 3 ( t + 1) = 0
( t + 1 ) ( t - 3 ) = 0.
t + 1 = 0 or t - 3 = 0
t = -1 or t = 3
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