A juggler tosses and catches balls at waist level. The balls are tossed at launch angles of 66°. If a ball attains a height 64 cm above waist level, how long is a ball in the air? In Seconds
in projectile motion the equation for maximum height is given by the equation
H = u^{2} Sin^{2} / 2g
given H = 64 cm = 0.64 m
g = 9.8 m/s^{2}
u^{2} Sin^{2} = 2gH
u Sin = (2gh)^{1/2}
u Sin = (2 x 9.8 x 0.64)^{1/2} = 3.54 m/s
equation for time of flight
T = 2 u Sin / g = 2 x 3.54 /9.8 = 0.722 s
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