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So I have this question that I have no idea how to approach, it was one of my math problems that belong in the category of factoring general quadratics, but I didn't know how to factor it: The equation y=4.9t2+42t+18.9 describes the height (in meters) of a ball tossed up in the air at 42 meters per second from a height of 18.9 meters from the ground, as a function of time in seconds. In how many seconds will the ball hit the ground?

 Feb 20, 2019
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So I have this question that I have no idea how to approach,
it was one of my math problems that belong in the category of factoring general quadratics,
but I didn't know how to factor it:
The equation  
y=4.9t2+42t+18.9
describes the height (in meters) of a ball tossed up in the air at 42 meters per second from a height of 18.9 meters from the ground,
as a function of time in seconds.
In how many seconds will the ball hit the ground?

 

Hit the ground means y=0 !

 

4.9t2+42t+18.9=0|(1)4.9t242t18.9=0t=42±42244.9(18.9)24.9t=42±422+370.449.8t=42±1764+370.449.8t=42±2134.449.8t=42±46.29.8|t>0 !t=42+46.29.8t=88.29.8t=9 seconds

 

In 9 seconds the ball will hit the ground.

 

laugh

 Feb 20, 2019

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