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The equation $y = -4.9t^2 - 3.5t + 2.4$ relates the height $y$ (in meters) to the elapsed time $t$ (in seconds) for a ball thrown downward at 3.5 meters per second from a height of 2.4 meters from the ground. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest hundredth.

 Apr 1, 2020
 #1
avatar+343 
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You can factor that equation to this: 49t^2+35-24=0

Now, factor this, and one of its roots will be positive. That positive root is the answer. 

(or, if you can't factor this, Use the quadtradtic formula!)

 Apr 1, 2020
 #2
avatar+24 
+1

Thank you!

 Apr 1, 2020
 #3
avatar+343 
+1

No problem! :)

 Apr 1, 2020

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