Teacher-curated, self-paced courses. Looking for a guided sequence through a full topic? See Learning Paths.
You walk 3 km east and then 4 km north. How far are you from the start? The answer is 5 km, and not 7 km. In this course we learn why. We separate scalars from vectors, we add and subtract vectors with arrows and with numbers, and we split any vector into two parts along the axes, which makes hard problems easy.
A boat that points straight across a river does not land straight across. In this course we describe the position, velocity and acceleration of a body that moves in a plane, we find that the two directions of motion do not disturb each other, and we use the relative velocity to solve problems about boats in rivers, rain and an umbrella, and aeroplanes in the wind.
A ball thrown at an angle goes up and down and forward at the same time. A stone on a string keeps its speed, and still it is accelerating. In this course we study the path, the time, the height and the range of a projectile, and we find the acceleration of a body in uniform circular motion, which points to the centre of the circle.
A ball thrown up a hill lands somewhere new, and a ball thrown from a moving lorry follows two paths at once. Here you handle throws on slopes and from moving platforms, and you find the farthest point that any throw can reach. You follow two ships to see how close they come, and you describe a car that speeds up on a bend. The problems are at the level of JEE, A-Level Physics and IB Higher Level, with a long timed paper.