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Soccer ball?

A soccer player kicks a ball into the air at an angle of 36.0 degrees above the Horizontal. The initial velocity is 30 m/s. How long is the ball in the air? How high does it rise? What is the Horizontal distance?

Public Comments

1. 3.4 seconds
45m
90m

2. initial vertical velocity = 30 sin 36.0 degrees = 17.6 m/s

v = u + at
0 = 17.6 + (-9.81)t
t = 1.794 s

time that the ball is in the air = 1.794*2 = 3.588s (since it takes the same time for the ball to rise up to max height and for the ball to fall from the ground to max height )

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s = ut + 1/2at^2
s = (17.6)(1.794) + (0.5)(-9.81)(1.794^2)
s = 15.85 m

the ball rises to 15.85 m
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horizontal speed = 30 cos 36.0 = 24.27 m/s

horizontal distance = 24.27(3.588) = 87.08 m

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please do redo the calculations yourself cuz i didn't take much care of significant figures and i may have made errors when pressing the calculator