Constants Part A A dog running in an open field has components of velocity v 3.0

Question

Constants Part A A dog running in an open field has components of velocity v 3.0 m/s and y-1.6 m/s at time t1 10.5 s. For the time interval from t1 -10.5 to t2 = 20.7 s , the average acceleration of the dog has magnitude 0.46 m/s and direction 26.0 measured from the +z-axis toward the ty-axis At time t2 = 207 s , what is the x-component of the dog's velocity? Express your answer using two significant figures. m/s Submit Request Answer Part B At time t2 20.7s, what is the y-component of the dog's velocity? Express your answer using two significant figures. m/s Submit Previous

Explanation / Answer

a = 0.46cos26 + 0.46sin26

a = 0.41344i + 0.20165j

Therefore,

0.41344i + 0.20165j = v / 10.2

v = 4.217i + 2.0568j

Part A -

x-component = 4.217 + 3 = 7.217 m/s

Part B -

y-component = 2.0568 + (-1.6) = 0.4568 m/s

Part C -

v = sqrt ((7.217)2 + (0.4568 )2

v = 7.2314 m/s

Part D -

Direction = tan-1 (0.4568 / 7.217)

Direction = 3.6217o

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