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A soccer ball is kicked with an initial speed of 15 m/s at an angle of 53° above

ID: 1789597 • Letter: A

Question

A soccer ball is kicked with an initial speed of 15 m/s at an angle of 53° above the horizontal from the the edge of the building by the time it hits the ground? ing. Ifair resistance is negligible, then how far does the ball travel horizontally from a) 17 m b) 32 m c) 67 m d) 84 m e) 38 m Kossy :413 throws a stone from the upper edge of a vertical cliff. The stone's initial velocity is 25.0 m/s at 40.0° with the face of the cliff, as shown in the figure. The stone hits the ground 3.75 s afte own and feels no appreciable air resistance as it falls. What is the height of the clift

Explanation / Answer

3.

Initial Horizontal and vertical velocity components is

Vox=15cos53=9.03 m/s

Voy=15sin53=11.98 m/s

from

Y=Yo+Voyt+(1/2)ayt2

0=35+11.98*t+(1/2)*(-9.8)*t2

4.9t2-11.98t-35=0

t=4.16 s

Horizontal distance travelled is

X=Voxt=9.03*4.16=37.6 m

X=38 m(approx)

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