Question

# A juggler tosses and catches balls at waist level. The balls are tossed at launch angles...

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 = u2 Sin2 / 2g

given H = 64 cm = 0.64 m

g = 9.8 m/s2

u2 Sin2 = 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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