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(5 MasteringPhysics: Cha 4 HW t Edge session masteringphysics.com/myct/itemView?assignmentProblemiD-85137525 dChapter 4 HWProblem 4.64 previous | 12 of 12 | return to assignment Problem 4.64 An agitated llama may spit to assert dominance, or to ward off threats. Llamas can spit a considerable distance, and people handling them need to keep this in mind. Part A If the spittle from a llama is launched from an initial height of 2.0 m with a speed of 5.7 m/s, and at an angle of 10 above horizontal, how far will it travel horizontally? Express your answer to two significant figures and include appropriate units. Value m Submit 3 pts User Settings 12. Problem 4.64

Explanation / Answer

A. given initial height, h = 2 m
   initial speed, v = 5.7 m/s
   initial angle, theta = 10 deg

   horizontal distance travelled, x = vo*cos(theta)*t
   where t is time of travel
   also
   h = vo*sin(theta)*t - 0.5gt^2
   -2 = 5.7sin(10)t - 0.5gt^2
   4.9t^2 - 0.9897t - 2 = 0
   t = 0.747 s

   hence x = 4.193 m

maximum horizontal distance = 4.193 m

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