Daniel tosses his basketball onto the ground from his second story window.He tosses the basketball with an initial downward velocity of 8 ft. per second.The equation h=-16t^2-8t+20 represents the height h of the basketball after t seconds.How long does the basketball take to hit the ground?

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23-05-2018
Mathematics

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Daniel tosses his basketball onto the ground from his second story window.He tosses the basketball with an initial downward velocity of 8 ft. per second.The equation h=-16t^2-8t+20 represents the height h of the basketball after t seconds.How long does the basketball take to hit the ground?

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altavistard altavistard · Answer 1 · 2018-05-23T04:58:45+02:00

Set the quadratic = to 0 and solve for time, t:

-16t^2 - 8t + 20 = 0

Reduce this to:

-4t^2 - 2t + 5 = 0

Here a= -4, b= -2 and c =5. Then,

2 plus or minus sqrt( 4-4(-4)(5) )
t = ---------------------------------------------
-8
2 plus or minus sqrt(84)
= ------------------------------------
-8

Finish evaluating this. If either outcome is negative, discard it.
The result will be the number of seconds required for the ball to hit the grnd.