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You toss a ball straight up at 6.8 m/s ; it leaves your hand at 2.0 m above the floor. Suppose you had tossed a second ball straight down at 6.8 m/s (from the same place 2.0 m above the floor). When would the second ball hit the floor?

Respuesta :

Answer:0.249 s

Explanation:

Given

Ball is tossed down with a velocity of 6.8 m/s downward

height from ground=2 m

therefore time to reach ground is

[tex]s=ut+\frac{gt^2}{2}[/tex]

[tex]2=6.8\times t+\frac{9.81\times t^2}{2}[/tex]

[tex]9.81t^2+13.6t-4=0[/tex]

[tex]t=\frac{-13.6\pm \sqrt{13.6^2+4\times 4\times 9.81}}{2\times 9.81}[/tex]

[tex]t=\frac{-13.6+18.49}{19.62}=0.249 s[/tex]

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