Projectile Motion- deriving formulas

Thread starter Haie101
Start date Jun 15, 2011
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deriving Formulas Motion Projectile Projectile motion

In summary, projectile motion is the motion of an object launched into the air and follows a curved path known as a parabola. To derive the formulas for projectile motion, you can use the equations of motion and kinematics principles. The formula for horizontal distance traveled is d = v<sub>0</sub> * t, and the maximum height can be calculated using h = v<sub>0</sub>^2 * sin^2θ / 2g. These formulas can be applied to any object as long as it follows the laws of kinematics and is affected by gravity, though external factors may slightly alter the path.

Jun 15, 2011

Haie101

Homework Statement

I need to know how the equation Dx= Vx[itex]\sqrt{}2(Dy)[/itex]/a is valid.

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Jun 15, 2011

ojs

Well, then we need to know the context of the problem. What are the variables here? What is Dx, Vx, Dy and a (I assume a is acceleration but the rest, no idea).

1. What is projectile motion?

Projectile motion is the motion of an object that is launched into the air and moves under the influence of gravity. It follows a curved path known as a parabola.

2. How can I derive the formulas for projectile motion?

To derive the formulas for projectile motion, you can use the equations of motion and the principles of kinematics. You will need to consider the initial velocity, acceleration due to gravity, and the time and displacement of the object.

3. What is the formula for the horizontal distance traveled by a projectile?

The formula for the horizontal distance traveled by a projectile is d = v₀ * t, where v₀ is the initial velocity and t is the time of flight.

4. How do I calculate the maximum height of a projectile?

The maximum height of a projectile can be calculated using the formula h = v₀^2 * sin^2θ / 2g, where v₀ is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

5. Can the formulas for projectile motion be used for any object?

Yes, the formulas for projectile motion can be used for any object as long as it follows the laws of kinematics and is affected by gravity. However, air resistance and other external factors may slightly alter the path of the object.