0 Hw 03 ,04 120% a Search Notes New England Patriots quarterback Tom Brady throw

Question

0 Hw 03 ,04 120% a Search Notes New England Patriots quarterback Tom Brady throws a football straight toward a receiver with an initial speed of 23.0 m/s, at an angle of 29.0° above the horizontal. At that instant, the receiver is 16.0 m from the quarterback. In what direction should the receiver run in order to catch the football at the level at which it was thrown? off to the sidelines to get a drink of water in the direction the ball was thrown back towards the quarterback With what constant speed should the receiver run? 18.66 m/s Enter amumber 4. -/8 points The determined coyote is out once more in pursuit of the elusive roadrunner. The coyote wears a pair of Acme jet-powered roller skates, which provide a constant horizontal acceleration of 10.0 m/s (see figure). The coyote starts at rest 60.0 m from the brink of a cif at the instant the roadrunner zips past him in the direction of the cliff Coyoté Roadrunner Stupidus Delightus et

Explanation / Answer

x component of initial speed, vx = 23cos(29) = 20.11 m/s

y component, vy = 23sin(29) = 11.15 m/s

From the kinematic equation,

y = uy*t + (1/2)at^2

0 = 11.15*t - (1/2)*9.8*t^2

t = 2.27 s

displacement in the x direction -

x = vx*t

x = 20.11*2.27 = 45.76 m

Distance travel by receiver,

d = 45.76 - 16.5 = 29.26 m

Speed of receiver,

v = 29.26 / 2.27

v = 12.8 m/s

Direction - in the direction the ball was thrown

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