A truck travels around a circular track. The position of the truck is described by the equations r = (400 - cos 8) m and 0 = (0.002 - ť²) rad, where t is in seconds. r = f@) 59 Using cylindrical coordinates, a. Determine the truck's radial and transverse components of velocity at t = 4 s, v, and vg. b. Determine the truck's radial and transverse components of acceleration at t = 4 s, a, and ag.

Suppose you walk 23.5 m straight west and then 19m straight north for a total magnitude of 30m.  A. What is your displacement vector (in m)? Express your answer in vector form. Assume the +x-axis is to the east, and the +y-axis is to the north. B. What is the direction of your displacement ( in degrees counter clockwise from the x-axis)?

Please answer  the question.

A displacement vector, d =dxi+dyj, has magnitude d=189m and points in a direction θ=25.3∘ measured counterclockwise from the positive y axis. a. Enter an expression for the horizontal component of the vector d using the symbols provided.  b.  Enter an expression for the vector d in Cartesian unit-vector notation using the symbols provided.  c. What is the sum of the magnitudes, in meters, of the vector components of the vector d?

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stion A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a direction 60.0° south of eact for 5.9 km (see Figure) North out of 60° East Post office What is his resultant displacement from the post office (in vector form)? O a. -3.51 mi + 2.95 mj Ob. 5.90 mi+ 1.60 mj Oc. 2.95 mi+-3.51 mj Od. None of the above O e. 1.35 mi- 5.11 mj

A horse on the merry-go-round moves according to the equations r = 8 ft , 0 = (0.7t) rad, and z = (1.5 sin 0) ft, where t is in seconds. (Figure 1) %3D Determine the cylindrical components of the velocity of the horse when t = 4 s. Express your answers in feet per second three significant figures separated by a comma. Determine the cylindrical components of the acceleration of the horse when t = 4 s. Express your answers in feet per square second three significant figures separated by a comma.

George runs the football 40 yards downfield before he is tackled.  The straight line distance between where he began the run and where he was tackled is 18 yards and makes a 25 degree angle with the right sideline. a. What was George's distance traveled in yards?  b. What was George's resultant displacement in yards?  PIck answer BELOW a. distance = 58yds, displacement = 18yds b. distance = 40yds, displacement = 22yds c. distance = 40 yds, displacement = 18yds d. distance = 18yds, displacement = 40yds

A teacher drives his car at 3 mi N 40o E, then turns 3.8 mi to the West. What is the magnitude and direction of the teacher’s displacement from the starting position?

Mr. Brown takes a walk in the park. He first travels 600. m NW and then turns and walks 800. m @ 20.0° WoS. What is his overall displacement of his walk? Use the triangle method to solve this. Should you use the component method, I will award zero points. I know the answer, I just don’t know how to get it. Answer: 771 m @ 25.1° SoW Thanks!!