20 баллов, не с интернета. Created by ilinovavictoria. algebra-ru

20 баллов, не с интернета...

snow99

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По условию, требуется h(t) > 6, знак строгий, потому что 'более' 6 метров.
2 + 9t - 5t^2 > 6
-5t^2 + 9t - 4 > 0
5t^2 - 9t + 4 < 0
D = 81 - 4*5*4 = 1
t1 = (9 + 1)/2*5 = 10/10 = 1
t2 = (9 - 1)/2*5 = 8/10 = 0,8
Неравенство примет вид:
5(t - 1)(t - 0,8) < 0
Отметим точки на координатной прямой(во вложении)
Значит, мяч будет находится на высоте более 6 метров:
t1 - t2 = 1 - 0,8 = 0,2 с.
Ответ: 0,2 с.

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irinan2014

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Находим разность во времени по графику.

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