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accelerates at the rate of 1.22 m/s2 for 6 s and then at the rate of 1,83 m/s2 u

ID: 2023821 • Letter: A

Question

accelerates at the rate of 1.22 m/s2 for 6 s and then at the rate of 1,83 m/s2 until it reached the speed of 14.6 m/s The train then maintains the same speed until it approaches the station B; brakes are then applied, giving the train constant deceleration and bringing it to a stop at station B. in 6 s. Knowing the total running time between A and B is 40 s. determine the distance between stations A and B Three vectors A. B and C are 50 m @ 30 degree, 30 m @ 195 degree and the third vector C's magnitude and direction is unknown. The resultant of these three vectors is four to be 44 m @ 75.5 degree N of W. Find the magnitude and direction of vector C. 228-369

Explanation / Answer

ax=50cos30=43.301 bx=30 cos 195=-48.296 dx=44cos 104.5=-11.017 cx=-6.022 ay= 50 sin 30=25 by=30 sin 195 = -12.941 dy= 44 sin 104.5 = 42.598 cy=30.539 angle of c arctan cy/cx= -78.845 degrees c=31.127 using pythagorean theorum