# Conceptual Projectile Question

• rwx1606
In summary, standing on a cliff significantly affects the maximum range of a thrown baseball due to the change in initial height and the effect on the projectile's trajectory. The optimal launch angle for maximum range may be less than, equal to, or greater than 45 degrees depending on the height of the cliff.
rwx1606

## Homework Statement

If a person stands on a level ground and throws a baseball, we say that a "launch angle" of 45 degrees will make the baseball travel farthest before it lands (ignoring air resistance). That is, the baseball has a maximum range when thrown at a 45 degree angle. But suppose that instead of standing on level ground, you are standing on the edge of a cliff when you throw the baseball. Will the best angle in this case be less than 45, equal to 45, or greater than 45 degrees?

## The Attempt at a Solution

My graduate student instructor said something about if the ball is just thrown horizontally off the cliff then that would give you the max range, but I don't really understand what's going on here. I know throwing up at an angle gives the ball more air time, and I've plugged in numbers for fun to help. I found that I do get a greater range when the ball is thrown at an angle less than 45 but only for bigger heights. What I did was use 20meters and 100 meters as the cliff's height. Only using 100meters did I found that the range was greater with just an initial horizontal velocity as opposed to throwing it at an angle less than 45.Can someone explain to me why?

does standing on a cliff make any difference to the range?

physixguru said:
does standing on a cliff make any difference to the range?

If by range is meant the horizontal distance traveled from the point of throw till it hits the ground, then yes, it matters enormously. Using the equations of projectile motion, it’s obvious. The question is good and deserves a well formulated answer without using equations, if possible.

## 1. What is a conceptual projectile question?

A conceptual projectile question is a type of scientific inquiry that involves studying the motion and behavior of objects, such as projectiles, in a hypothetical or conceptual situation. It often requires the use of mathematical models and theoretical concepts to understand and predict the behavior of the object.

## 2. How is a conceptual projectile question different from a practical one?

A conceptual projectile question focuses on understanding the underlying principles and theories behind the behavior of a projectile, while a practical question is concerned with applying these principles to solve a real-world problem or situation. In a conceptual question, the variables are often hypothetical and the focus is on understanding the concept, whereas in a practical question, the variables are specific and the focus is on finding a solution.

## 3. What are some examples of conceptual projectile questions?

Some examples of conceptual projectile questions include: What factors affect the horizontal range of a projectile? How does the angle of launch affect the maximum height of a projectile? How does air resistance impact the trajectory of a projectile? These questions all involve studying the motion of a projectile in a hypothetical or conceptual scenario.

## 4. How do scientists study conceptual projectile questions?

Scientists study conceptual projectile questions by using mathematical models, such as equations of motion, to describe the behavior of the projectile. They also use theoretical concepts, such as Newton's laws of motion, to understand the underlying principles that govern the motion of the projectile. They may also conduct experiments or simulations to test their theories and make predictions about the behavior of the projectile.

## 5. Why are conceptual projectile questions important in science?

Conceptual projectile questions are important in science because they allow scientists to understand and predict the behavior of objects in a variety of situations. By studying the behavior of projectiles in a hypothetical or conceptual scenario, scientists can gain a deeper understanding of the fundamental principles that govern the motion of objects. This knowledge can then be applied to solve practical problems and advance our understanding of the natural world.

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