This figure (|a| = 20.0 m/s²) represents the total acceleration of a particle moving clockwise in a circle of radius r = 3.10 m at a certain instant of time. 30.0° (a) For that instant, find the radial acceleration of the particle. m/s² (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration. m/s² (in the direction of the motion)

1. You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement is A; its second displacement is B, of magnitude 10.00 cm and direction 74.2 deg measured in the sense from the +x-axis toward the -y-axis. The resultant C = A + B  of the two displacement s should also have a magnitude of 10.00 cm, but a direction 41.6 deg measured in the sense from the +x-axis toward the +y-axis. (a) Find the magnitude of A. 2. A ball is speeding up along a circular track. What can be said about the velocity and acceleration vectors on the body? 3. In an intersection, a bus moving at (100i) m/s and a truck moving at (200j) m/s collided with each other. Assuming that the two objects have the same mass, what would be their final speed together?

An object is moving counterclockwise around a circular track at a constant speed of 3 m/s. The track is centered at the origin and has a radius of 1 m. What is the object's acceleration vector when it is at point P shown? y. P -(3플)i ○금3 + (3프) i a = +(9) i m Oa = 0 -(9플)i

Calculate the magnitude