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Question

(Jk_ Mozilla l https://www-awh aleks.com/alekscgi/ lsl.exe/10 u-laNslkr718P3H-lixk3hx8lkqMfg8yaFKbD9Gafst 110% search O FQUATIONS AND INFQUAI ITIFS Solving a word problem using a quadratic equation with irratio Allison Español A ball is thrown from a height of 40 meters with an initial downward velocity of 10 m/s. The ball's height h (in meters) after t seconds is given by the following h- 40-10r-5t How long after the ball is thrown does it hit the ground? Round your answer(s) to the nearest hundredth (If there is more than one answer, use the "or" button.) tseconds ground Explanation Check 201 / McGraw HIll Lducation. All Rights Reserved. lerms ot Use | Privacy

Explanation / Answer

So, when the ball will hit the ground, the height at that time will be zero.

So, 40 - 10t - 5t2 = 0

Or, t2 + 2t - 8 = 0

Or, t2 + 4t - 2t - 8 = 0

Or, t(t+4) -2(t+4) = 0

Or, (t+4)*(t-2) = 0

Or, t = 2 seconds (ans)