The time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds
Given the equation representing the height reached by a rocket as:
[tex]y = -16x^2 + 157x + 104[/tex]
The rocket will hit the ground when y = 0. Substituting y = 0 into the expression to get x;
[tex]0 = -16x^2 + 157x + 104\\16x^2 - 157x - 104 = 0\\[/tex]
On factorizing:
x = 10.43 seconds
Hence the time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds
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