How do you solve projectile motion with air resistance?

Mathematically, the resistive force represented by the vector F can be written as F=-f(v) u, where u=V/|V| is the unit vector along the direction of the velocity V. The minus sign guarantees that the air resistance acting on the projectile is always opposite to the direction of its velocity.

How can air resistance be reduced in an experiment?

Drag is mentioned. Two ways to reduce air resistance are stated: reducing the area in contact with air (by the cyclist ducking down or cycling behind someone else) and by being more streamlined (wearing smoother surfaces or a more streamlined helmet).

When air resistance is taken into account while dealing with the motion of the projectile to achieve maximum horizontal range the angle of projection should be?

In the presence of air resistance, the range, maximum height, speed at which the projectile strikes the ground will decrease whereas the angle at which the projectile strikes the ground will increase.

How does air resistance affect range of projectile?

Objects moving through air are slowed down due to air resistance, sometimes called drag. This air resistance affects a spacecraft when it re-enters the Earth’s atmosphere but also the path of a projectile such as a bullet or a ball. The maximum height, the range and the velocity of the projectile are all reduced.

What relation does speed have with air resistance explain?

The force of air resistance is approximately proportional to the speed of the falling object, so that air resistance increases for an object that is accelerating, having been dropped from rest until terminal velocity is reached. At terminal velocity, air resistance equals in magnitude the weight of the falling object.

How does streamlining reduce air resistance?

STREAMLINING. When objects move, the air around them generates a type of friction called air resistance, or drag, that slows them down. designed with curved and sloping surfaces to cut through the air and reduce drag. This helps them to move faster and use less fuel.

What is quadratic air resistance?

For quadratic air resistance ( is the quadratic term): . To find the position of the object, the equations of motion ( is the acceleration) are integrated twice. The first integration gives the velocity of the object and the second determines the position of the object as a function of time.

What will be the force if we ignore air resistance in horizontal motion of the body in the air?

In the absence of air resistance there are no forces or components of forces that act horizontally. A velocity vector can only change if there is acceleration (acceleration is the rate of change of velocity). In order to accelerate a resultant force is required (according to Newton’s Second Law, →F=m→a ).

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