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emmasim [6.3K]
3 years ago
10

Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. How long will the bal

l be in the air before it lands?
Round your answer to the nearest tenth.
Physics
1 answer:
alukav5142 [94]3 years ago
5 0
Just consider the vertical component
d_y=v_{0,y}t+\frac{1}{2}at^2
d_y=(13.9\sin 25\°)t+\frac{1}{2}(-9.8~m/s^2)t^2 \\  \\ d_y=5.87t-4.9t^2

Set d_y equal to 0 to find the times the ball is on the ground
0=5.87t-4.9t^2 \\  \\ 0=t(5.87-4.9t) \\  \\ t=0 \\  \\ t=1.2~s

The ball was in the air for 1.2 seconds
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