A horse on the merry-go-round moves according to the equations r = 8 ft , 0 = (0.7t) rad, and = (1.5 sin 0) ft, where t is in seconds. (Figure 1) = Z 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.
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- A girl delivering newspapers covers her route by traveling 5.00 blocks west, 4.00 blocks north, and then 4.00 blocks east. (a) What is her resultant displacement? Your response differs from the correct answer by more than 10%. Double check your calculations. blocksWhen the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v (0.3t) ft/s², where t is in seconds. Take p = 350 ft. (Figure 1) Figure 60° p 1 of 1 Part A If he starts from rest at A, determine the magnitude of his velocity when he reaches B. Express your answer to three significant figures and include the appropriate units. V = Part B _O Submit a = Value μA 7 Request Answer If he starts from rest at A, determine the magnitude of his acceleration when he reaches B. Express your answer to three significant figures and include the appropriate units. Submit μA Value Units Request Answer ? Units ?D = (oxt) + (1/2 * 8.93* (4.7)2) I D = 98.63 meter 5. You are about to skateboard down a long hill. Your initial velocity is 2.0 m/s south. When you reach the bottom of the hill you are travelling 6.0 m/s south. It took you 57 seconds to reach the bottom of the hill. What was your displacement?
- The velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.The position of an object in circular motion is modeled by the given parametric equations, where t is measured in seconds. x=7sin((pi/8)t), y=-7cos((pi/8)t) How long (in sec) does it take to complete one revolution?Can you go step by step.
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