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Masteringingineering MasteringcomputersoerceHww2 Google Chome Secure https//sessionmasteringengineering com/myct/itemView?assignmentProblemID 5634320 EM 2433-03-Dynamics Problem 12.69 Part A Problem 12.69 Determine the magnitude of the particle's acceleration when t 25 Express your answer to three significant figures and include the appropriate units. The velocity of a particle is defined as +12tinj t 5k) m/s. a Value Units Submit My Answers Gree up Part B Determine the coordinate drecaon angle a orhe particle's acceleration when t 2.5 Express your answer using three signiricant figures. Deteraine the coordinate a action angle of the particies acceleration when f -25 s Express Your answer using three signincant figures.

Explanation / Answer

v = 0.8t^2 i + 12t^0.5 j + 5 k

So, a = dv/dt = 1.6*t i + 6/t^0.5 j+ 0 k

So, at t = 2.5 s,

a = 1.6*2.5 i + 6/2.5^0.5 j + 0 k

= 4 i + 3.8 j + 0 k

So, magnitude = sqrt(4^2 + 3.8^2 +0^2) = 5.52 m/s2 <----answer

b)

alpha = acos(4/sqrt(4^2 + 3.8^2 + 0^2)) = 43.5 deg

c)

beta =  acos(3.8/sqrt(4^2 + 3.8^2 + 0^2)) = 46.5 deg

d)

gamma = acos(0/sqrt(4^2 + 3.8^2 + 0^2)) = 90 deg

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