Vector Kinematics
A rocket initially at moves with a constant velocity of through vacuum. After moving for an asteroid hits the rocket and a change of is made to the rocket's velocity. What is the position vector of the rocket at
A man initially at on the coordinate plane walks with a velocity of for seconds. Then he walks with a velocity of for seconds. Find the magnitude of his total displacement.
A kayaker paddles due north at 2 m/s. The river the kayaker is paddling in flows towards the east at 1 m/s. After 5 seconds of paddling, how far is the kayaker from where she started in meters?
You wish to swim across a small river to your friend on the other side. The river is 30 meters wide and you begin to swim straight across it at a speed of 1 m/s. The current in the river is 0.5 m/s and so the river carries you downriver as you swim. How far downriver in meters are you when you get to the other side?
A train is moving at a constant speed of The train first moves in the direction for an hour. Then it turns upward and moves for two hours. Find the magnitude of the train's total displacement.