How to Calculate the x ,y position of Horizontal Projectile motion with air resistance

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Expert Solution

In most of the situations, we ignore air resistance to simplify the basic concepts and calculations.

Air resistance depends upon the velocity with which the object is moving.

Higher the velocity, higher the air resistance.

Mathematically,

Resistive force F = - f(V) u, "u" is the unit vector in the direction of velocity V.

negative sign shows that the air resistance is opposite to the direction of velocity.

f(V) describes that the magnitude of air resistance depends upon the magnitude of Velocity V.

f(V) = bV + CV² ( b,c are coefficients depending upon the size and shape of object)

Horizontal projectile : When a projectile has only horizontal velocity, and no vertical velocity, it's a horizontal projectile.

At time, t = 0, it's horizontal velocity = V_ih

Vertical velocity = V_iv = 0.

The vertical component is added as the descent increases.

X, Y are the distance travelled in X and Y direction by the projectile.

Remember the horizontal acceleration will always be zero and vertical value will be same as acceleration due to gravity.

Incorporate air resistance to calculate the effective force by subtracting air resistance from the force to find effective force.

Using the basic equation of motion, find the distance travelled by the horizontal projectile, which will give the value of X final location. Yshould be 0, if it falls on ground floor.

I hope, it helps.

genius_generous answered 1 year ago

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