Proportions Projectile Motion Problem

In summary, the question asks for the new downrange distance of a projectile launched with a speed of 4vi, compared to its original downrange distance with a speed of vi. It is assumed that the projectile is launched horizontally, but it is not specified. To solve this, you can use the range equation for projectile motion or reason out the answer based on the assumption that the projectile is launched at an angle.
  • #1
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Homework Statement


A projectile on level ground is launched with a certain speed vi and has a downrange distance of Δx. What is Its new downrange distance if it is launched with a speed of 4vi instead?

Homework Equations


Δx=vi*t (I think)

The Attempt at a Solution


Since it says speed in the question, I assumed that the projectile was launched horizontally, therefore only affecting the downrange distance by a factor of 4. I'm not sure if it is launched at an angle though, but I'm thinking it wasn't.[/B]
 
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  • #2
Although you are correct with your reasoning, my guess is that the intention of the question, although it was not specified, is that the projectile was launched at an angle. Have you discussed the range equation for projectile motion on flat ground? That would be the easiest way to answer the question, though you can reason out the answer without it.
 

Related to Proportions Projectile Motion Problem

1. What is a proportion projectile motion problem?

A proportion projectile motion problem involves solving for the motion of an object that is projected at an angle, taking into account the effects of gravity. This type of problem is often used in physics and engineering to understand the trajectory of objects.

2. How do you solve a proportion projectile motion problem?

To solve a proportion projectile motion problem, you need to use the equations of motion for projectile motion. These equations take into account the initial velocity, angle of projection, and acceleration due to gravity. By plugging in the known values and solving for the unknowns, you can determine the motion of the object.

3. What are the key variables in a proportion projectile motion problem?

The key variables in a proportion projectile motion problem are the initial velocity, angle of projection, and acceleration due to gravity. These variables are used in the equations of motion to calculate the displacement, velocity, and time of the object.

4. How does air resistance affect a proportion projectile motion problem?

Air resistance can affect a proportion projectile motion problem by slowing down the object and changing its trajectory. In real-life scenarios, the effects of air resistance must be taken into account to accurately model the motion of the object. This can make the problem more complex and require additional equations.

5. What are some real-life applications of proportion projectile motion problems?

Some real-life applications of proportion projectile motion problems include sports such as football, baseball, and golf, where understanding the trajectory of the ball is important for scoring. These types of problems are also used in engineering for designing and testing projectiles, such as rockets and missiles. Additionally, understanding proportion projectile motion is crucial in fields such as ballistics and astronomy.

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