the velocity of an airplane flying into a headwind is given by v(t) the velocity

Question

the velocity of an airplane flying into a headwind is given by v(t) the velocity of an airplane flying into a headwind is given by v(t) the velocity of an airplane flying into a headwind is given by v(t) Constants Part A A dog running in an open field has components of velocity 3.4 m/s and vy 1.2 m/s at time t1- 10.4s. For the time interval from t1 10.4 s to t2 22.2 s, the average acceleration of the dog has magnitude 0.53 m/s2 and direction 33.5° measured from the +z -axis toward the +y - axis. Attime t2 222 s, what is the x-component of the dog's velocity? Express your answer using two significant figures. Submit Part B At time t 22.2s, what is the y-component of the dog's velocity? Express your answer using two significant figures.

Explanation / Answer

vx = 3.4 m/s

vy = -1.2 m/s

t = 22.2 - 10.4 = 11.8 sec

ax = 0.53 * cos 33.5 = 0.4419 m/s2

ay = 0.53 * sin 33.5 = 0.2925 m/s2

(a) x-component

v = 3.4 m/s + 0.4419 m/s2 * 11.8 s

v = 8.1442 m/s

(b) y-component

v =  -1.2 m/s + 0.2925 m/s2 * 11.8 s

v = 2.25 m/s

c) v = sqrt (8.1442 m/s2 + 2.25 m/s2)

v = 8.449 m/s

d) direction = tan-1 (2.25 / 8.1442)

direction = 15.44 degree

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