Within the jet stream, a plane flies 170 m/s at 22\" South of North. Find the ve

Question

Within the jet stream, a plane flies 170 m/s at 22" South of North. Find the velocity of the jet relative to the ground. 6. magnitude a. 106.2,m/s b. 104.8 m/s c. 228.5 m/s d. 222.6,m/s e. 164.3 m/s f. 170.1 m/s 7. direction a. 30.09" N of W b. 20.56 N of W c. 27.82" N of W d. 16.38 N of w e. 17.21 N of W f 25.51 N of W A river has a 6.7,m/s current due East. With respect to the water, the boat's velocity is 14,m/s at 68 east. What is the velocity of the boat relative to the Earth? (State the angle relative to due East.) north of 8. magnitude a. 34.06 m/s b. 17.64 m/s c. 29.14 m/s d. 14.54,m/s e. 24.43.m/s f. 27.3.m/s 9. direction a. 45.18 b. 46.22 C. 92.02 d. 47.38 e 41.56 f. 83.64 A science student is riding on a flatcar of a train traveling along a strait, horizontal track at a constant speed of 12.0 m/s. The student throws a ball into the air along a path he judges to make an initial angle of 65.0 deg with the horizontal and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise vertically. How high does he see the ball rise? [SJ E08 04.43] 10. a. 33.30 m b. 37.86 m c. 33.79 m d. 39.34 m e. 41.91 m f. 36.41 m

Explanation / Answer

here,

the first displacement , d1 = 170 * ( - cos(22) i - sin(22) j) m/s

d1 = - 157.6 i m/s - 63.7 j m/s

d2 = 110 m/s j

the net displacment , d = d1 +d2

d = - 157.6 i m/s + 46.3 j m/s

6)

magnitude = sqrt(157.6^2 + 46.3^2) m/s = 164.3 m/s

the magnitude is e) 164.3 m/s

7)

direction , theta = arctan(46.3 /157.6)

theta = 16.38 degree N of W

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