Alonso is showing off his driving skill by maintaining his speed at 108 km/h for the whole journey from A to B. The bend AB is assumed to be at a constant radius of 30 m about point O. The car is observed by camera from point D. Determine r, 0, i and 6 observed from D when the car passes point C. 0 = 60° and a = 30°. r = 30 m D %3D

In a hockey game, player A passes the puck to player B, who is standing on the blue line, as shown in the diagram. The y axis is perpendicular to the blue line, and the x axis is parallel to the blue line, as shown. The puck travels a distance d1 = 21.6 m on its way to player B, making an angle θ = 40.8 degrees with the x axis. Player B then passes the puck so that it moves a distance d2 = 6.5 m on the blue line, in the negative x direction. What angle, in degrees, does the total displacement make with the y axis?

If B goes down with a speed v³ = 12 m/s, what is the speed of A? ·x A O VA = 2.4 m/s Ο UA = 2 m/s Ο UA = 1.2 m/s O VA = 3 m/s B

7. The rod assembly rotates about its z-axis. The mass C is 10 kg and its initial velocity is 2 m/s. A moment M(t) = 8t^2 +5 N-m and force F = 60 N act as shown. Compute the velocity of the mass C after 2 seconds. ANS. V 13.38 m/s 0.75 m, 60 N M = (8²+5) N.m