Texts: 3B1 [4pt] A transient person stands on a mountain top height 500m, shoots a bullet with an initial speed of 200m/s. The angle between the bullet's initial velocity and the horizontal direction is 60 degrees. The bullet hits an innocent lamb eating grass at a foothill height of 100m. After how many seconds does the bullet hit the lamb?
3B2 [2pt] What is the horizontal distance between the lamb and the transient person?
3C1 [2pt] A particle executes 3D motion. The position as a function of time is: x(t) = 2mcos(2t), y(t) = 3msin(2t), z(t) = 7t. Find the speed of the particle at t = 4s, v(4).
3C2 [4pt] What is the angle Īø between the velocity vector and the acceleration vector at the moment t = 2s?