G4ibleybrownca G4ibleybrownca

26-05-2016
Mathematics

Answered

Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach? (1 point)

Verified Answer :

27-05-2016

Hello,

y=-g/2 t²+25 t is the trajectoire with g=9.81 m/s²

y=-g/2 (t²-252/g t)
==>y=-g/2(t²-225/g t +25²/g²)+25²/g² g/2
==>y=-g/2(t-25/g)²+25²/(2g)

==> h=25²/(2g)=625/(29.81*3.28084)=9,709479... feet
(for 1m=3.28084 feet)

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