A particle is traveling along the parabolic path y = 0.3x² . If x = 8 m, Vx %3D = 8 m/s, and a, = 3 m/s? when t = 4 s, determine the magnitude of the particle's acceleration at this instant.

At time t = 0, a particle is at rest in the x-y plane at the coordinates (xo, Yo) = (9, 0) in. If the particle is then subjected to the acceleration components ax = 0.64 - 0.33t in. /sec² and ay = 0.15t - 0.03t² in. /sec², determine the coordinates of the particle position when t = 6 sec. You might consider plotting the path of the particle during this time period. Answer: (x, y) = (i " )in.

The velocity of a particle along the s-axis is given by v= 12s8/7 where s is in millimeters and v is in millimeters per second. Determine the acceleration when s is 2.7 millimeters. Answer: a = i mm/s²

If a car accelerates at 2 m/s^2 from rest along a path with a 15m radius of curvature (p ), determine its velocity and acceleration at t= 5s using normal tangent coordinates.