Assignment:
1. You are at the top of a 60 m high tower. You drop a stone with initial velocity v0; air drag is negligible (and take g = 10 m/s2). Calculate the final speed of the stone when it hits the ground if:
(i) v0 = 0 m/s
(ii) v0 = 6 m/s pointing upward.
(iii) v0 = 6 m/s pointing downward.
2. In the figure below (not in scale), the two vectors have magnitude |A| = 4 and |B| = 2.
(i) Calculate the components of vector A.
(ii) Calculate the components of vector B.
(iii) Calculate the components of vector 2A - 3B.
(iv) Calculate the magnitude of vector 2A - 3B.
(v) Calculate the angle between vectors A and B.