Projectile Motion- Deriving equation

In summary, the conversation discusses deriving algebraic expressions for the time-of-flight and range of a projectile launched with an initial speed of v0 and at an angle θ above horizontal. These expressions do not include numerical values and are based on the variables h, g, and t. The attempt at a solution involves using knowledge about the subject to determine the necessary equations and variables.
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student2013
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Homework Statement



Part 1- Derive an algebraic expression for the time-of-flight of a projectile launched with initial speed v0 from a height h at an angle θ above horizontal. (Use any variable or symbol stated above along with the following as necessary: g. Do not substitute numerical values; use variables only.)

Part 2- Derive an algebraic expression for the range of a projectile launched with initial speed v0 at an angle θ above horizontal with time-of-flight t. (Use the variable t in your answer. Do not substitute the expression for t found above.)


Homework Equations





The Attempt at a Solution

 
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Please write something as an attempt at a solution.
Maybe we can lead you to the answer from your knowledge about the subject.
 

1. What is projectile motion?

Projectile motion is the motion of an object that is thrown or launched into the air and moves through the air under the influence of gravity.

2. What is the equation for projectile motion?

The equation for projectile motion is y = y0 + v0y*t - 1/2*g*t^2, where y is the vertical position, y0 is the initial vertical position, v0y is the vertical component of initial velocity, t is time, and g is the acceleration due to gravity.

3. How is the equation for projectile motion derived?

The equation for projectile motion can be derived from the equations of motion for constant acceleration by separating the vertical and horizontal components of motion and using the fact that the acceleration in the horizontal direction is zero.

4. What are the key assumptions made in deriving the equation for projectile motion?

The key assumptions made in deriving the equation for projectile motion are that there is no air resistance, the acceleration due to gravity is constant, and the motion is limited to a two-dimensional plane.

5. Can the equation for projectile motion be used for objects moving in a curved path?

Yes, the equation for projectile motion can be used for objects moving in a curved path as long as the key assumptions hold true and the acceleration remains constant.

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