Question

Part A Learning Goal: To calculate the normal and tangential components of the acceleration of an object along a given path. A particle is traveling along the path y(x) = 0.3x2, as shown in (Figure 1), where y is in meters when x is in meters. When 3 = 5 m, the particle's velocity is v = 15 m/s and the magnitude of its acceleration is a = 11 m/s2 Determine the normal and tangential components of the acceleration What is the angle between the positive z-axis and the unit tangent vector for the motion at x = 5 m ? Express your answer to three significant figures with appropriate units. View Available Hint(s) T! HA A O O ? 0 = Value Units Figure (< 1 of 1 > Submit Part B What is the radius of curvature of the path at x = 5 m? Express your answer to three significant figures with appropriate units. View Available Hint(s) C: MÅ * R 0 2 ? Value Units

Answer 1

a (0.3x2) = 2(0.3)x) x=sm= 3 m. o=tant (3) = $1.560. 0=171160 0.6 R-5 R= [1+0:36x ²) a = 152-7 m. an 4.m/s2 o-goro = 90+ 71.56 = 1620] an- 52.7 aR=a²tan? 11 = Vat²+ 4.27² 11²_4.272 = az² at=/1011 m/s2