Learning objective
Understand the directions of velocity and acceleration in curvilinear motion and the tangential and normal accelerations.
Learn to decompose complex motion into independent motions along perpendicular axes.
Derive the flight time, maximum height, range and trajectory of a body projected horizontally and at an angle.
View circular motion as a special case of curvilinear motion.
Expected outcomes
Calculates $T$, $H$, $L$ and the velocity at any time for a projectile.
Derives the trajectory equation and shows that it is a parabola.
Finds the radius of curvature at any point of the trajectory via $R = v^2/a_n$.
Solves problems on bodies projected from a height using a quadratic equation.
Activities
Lecture
Lecture · 1 h 15 min ·
required
Problem solving on the motion of a body projected at an angle to the horizontal
Practice · 1 h 15 min ·
required
Studying the laws of motion of a body projected at an angle to the horizontal
Laboratory · 2 h 30 min ·
optional
Final test
Test · 20 min ·
required
· pass ≥ 70%
Completion conditions
- Lecture
- Problem solving on the motion of a body projected at an angle to the horizontal
- Final test — at least 70%