# Projectile motion maximum range

• Willian93
In summary, the question is asking which variable must be zero for a projectile to achieve maximum range when launched from level ground at an angle to the horizontal. The answer is delta dy, as decreasing this value will result in a lower angle and therefore a greater range. The other variables, vx, vy, delta dx, and a, are not affected by changes in angle and will not affect the range.
Willian93

## Homework Statement

a projectile is launched from level ground at some angle to the horinzontal. Which of the following must be zero for a projectile to achieve maximum range?

vx, vy, delta dx, delta dy or a

## The Attempt at a Solution

i thought to achieve maximum range, the vx component has to be really large, maybe vy is zero. But the answer was delta dy, not sure how it works

Could you elaborate what the notation values are?

I'm familiar with the equations, but not your notation.

Jared

I'm assuming that since you do not have an angle, the problem is going on the basis that as you decrease your delta y, delta x increases. Think like this. Maximum range is always at 45 degrees, however since we don't know if the projectile was launched at 45 degrees, we must simply assume that the if delta y gets lower (thus a lower angle) the range will increase.

## What is projectile motion maximum range?

Projectile motion maximum range is the horizontal distance traveled by an object in motion, such as a projectile, before it lands on the ground. It is the farthest distance the object can travel in a given direction.

## What factors affect the maximum range of projectile motion?

The maximum range of projectile motion is affected by the initial velocity, angle of launch, air resistance, and the acceleration due to gravity. These factors determine the trajectory of the object and how far it will travel.

## How do you calculate maximum range in projectile motion?

The maximum range in projectile motion can be calculated using the equation R = (v^2 * sin(2θ)) / g, where R is the range, v is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.

## Can the maximum range of projectile motion be increased?

Yes, the maximum range of projectile motion can be increased by increasing the initial velocity or by adjusting the angle of launch. However, air resistance and gravity will still play a role in determining the maximum range.

## How is the concept of maximum range in projectile motion used in real life?

The concept of maximum range in projectile motion is used in various fields such as sports, military, and engineering. For example, in sports like baseball and golf, understanding the maximum range can help players optimize their shots. In the military, it can help determine the range of missiles and other projectiles. In engineering, it is used to design and test machines that use projectile motion, such as catapults and cannons.

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