Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Lecture

Ballistics with Friction

In course

PHYS-101(a): General physics : mechanics

Le but du cours de physique générale est de donner à l'étudiant les notions de base nécessaires à la compréhension des phénomènes physiques. L'objectif est atteint lorsque l'étudiant est capable de prévoir quantitativement les conséquences de ces phénomène ...

Description

This lecture covers the topic of ballistics with friction, focusing on the integration of equations of motion for projectile motion. The instructor explains the process step by step, including finding the velocity and position functions with respect to time. The lecture also delves into the impact of initial conditions on the projectile's trajectory and the exponential decrease of velocity over time. Additionally, the lecture explores the concept of characteristic time in projectile motion and the influence of friction on the projectile's path.

Instructor

Jean-Philippe Hogge

Official source

Ontological neighbourhood

Physics

Mechanics: Classical mechanics

Related concepts (32)

Equations of motion

In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time. More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions in terms of dynamic variables. These variables are usually spatial coordinates and time, but may include momentum components. The most general choice are generalized coordinates which can be any convenient variables characteristic of the physical system.

Trajectory

A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete trajectory is defined by position and momentum, simultaneously. The mass might be a projectile or a satellite. For example, it can be an orbit — the path of a planet, asteroid, or comet as it travels around a central mass. In control theory, a trajectory is a time-ordered set of states of a dynamical system (see e.

Velocity

Velocity is the speed and the direction of motion of an object. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies. Velocity is a physical vector quantity: both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called , being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s or m⋅s−1). For example, "5 metres per second" is a scalar, whereas "5 metres per second east" is a vector.

Angular velocity

In physics, angular velocity (symbol ω, sometimes Ω), also known as angular frequency vector, is a pseudovector representation of how the angular position or orientation of an object changes with time, i.e. how quickly an object rotates (spins or revolves) around an axis of rotation and how fast the axis itself changes direction. The magnitude of the pseudovector, , represents the angular speed (or angular frequency), the rate at which the object rotates (spins or revolves).

Projectile motion

Projectile motion is a form of motion experienced by an object or particle (a projectile) that is projected in a gravitational field, such as from Earth's surface, and moves along a curved path under the action of gravity only. In the particular case of projectile motion on Earth, most calculations assume the effects of air resistance are passive and negligible. The curved path of objects in projectile motion was shown by Galileo to be a parabola, but may also be a straight line in the special case when it is thrown directly upward or downward.

Related lectures (32)

Projectile Motion: Frictional Effects

Discusses projectile motion with friction and systems with inclined planes and pulleys.

Newton's Laws: Ballistics and Forces Equilibrium

Explores the application of Newton's laws in ballistics and forces equilibrium, emphasizing problem-solving techniques and trajectory analysis.

Projectile Motion: Friction Effects

Explores projectile motion with friction effects and dynamics of polar expeditions.

Trajectories and Motion Equations

Covers trajectories, motion equations, velocity properties, acceleration components, and integration of motion equations.

Ballistics and Forces Equilibrium