Ball

The soldier fired the Ball at an angle of 57° at an initial velocity of 186 m/s. Determine the length of the litter. (g = 9.81 m/s2).

Correct answer:

x =  3221.7 m

Step-by-step explanation:

v=186 m/s α=57 ∘ g=9.81 m/s2  v1​=v⋅ cos(α)=186⋅ cos(57°)≐101.3029 m/s v2​=v⋅ sin(α)=186⋅ sin(57°)≐155.9927 m/s  x(t) = v1​ t y(t) = v t sin α  − 21​ gt2 y(t)=0 v t sin α  = 21​ gt2 v sin α  = 21​ gt v2​  = 21​ gt  t=g2⋅ v2​​=9.812⋅ 155.9927​≐31.8028 s  x=v1​⋅ t=101.3029⋅ 31.8028=3221.7 m

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You need to know the following knowledge to solve this word math problem:

planimetricsgoniometry and trigonometryUnits of physical quantitiesthemes, topicsGrade of the word problem

 
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