Plotting projectile displacement, acceleration, and velocity as a function to change in time.

Deriving displacement as a function of time, constant acceleration and initial velocity.

Conservation of energy is used to solve a projectile motion problem and to analyse the motion of a pendulum bob. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Calculus is used to solve the same problem as in the previous video. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

How to calculate the direction that a speedboat of fixed speed must travel in in order to get as close as possible to a yacht moving with constant velocity. A geometrical approach is used here. In the next video, calculus is used. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Relative Velocity. The angle that a boat must enter a river in order to go directly across the river. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

All the velocity vectors are constant. V_ab = V_a - V_b Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

18:16 (2013) How to calculate the launch angle Ɵ of a particle to an incline of given angle β in order to get the maximum range for the particle fired up the incline with given speed u. We see that Ɵ does not depend on u. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

For any given launch speed u, the angle that gives the maximum range of the particle is 45 degrees. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Sample problems involving vectors. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Sample problems with vectors.

Two numbers give the polar form of a vector in two dimensions, the length or magnitude r of the vector, and the angle theta measured anti - clockwise from the positive x-axis to the vector.

The i - j plane contains vectors which are built up from the unit vectors (length = 1) i and j. i points up and j points to the right.

Lesson on representing a vector in three dimensions.

Lesson 2 on vectors and their inherent properties.

Lesson and overview of vectors and their inherent properties.

How to denote unit vectors.

Lesson on multiplying vectors by scalars.

Lesson on adding vectors and vector components.

Tutorial on vectors and vector spaces.

Brendan Willimason explains the course content relevant to question 3 The worksheet for this lecture can be found at http://sites.duke.edu/brendanwilliamson/files/2013/10/Worksheet-2.pdf