Max Height and Distance of Projectile: Theory & Simulation

• Ferdel
In summary, the conversation is discussing how to find the angle at which a projectile is fired in order to achieve the same maximum height and distance traveled. The individual needs to find this theoretically and then confirm it through simulation. They mention using the equations y=yo+Voyt+1/2gt^2 and x=Voxt. They also mention that there are many resources available online for calculating height and range in projectile motion.
Ferdel
How can i find the angle that a projectile is fired where the maximun height is the same as the traveling distance?
I need to find this first in a theoretical way, then i need to confirm this with a simulation.
And i need to use only this
y=yo+Voyt+1/2gt^2
x=Voxt

How much do you know about projectile motion?

The basics.

Ferdel said:
The basics.
And the basics don't include being able to calculate the height and range?

PeroK said:
And the basics don't include being able to calculate the height and range?
?

thanks

1. What is the formula for calculating the maximum height of a projectile?

The formula for calculating the maximum height of a projectile is h = (v2sin2θ)/2g, where h is the maximum height, v is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity.

2. How does air resistance affect the maximum height and distance of a projectile?

Air resistance, also known as drag, decreases the maximum height and distance of a projectile. This is because air resistance acts in the opposite direction of the projectile's motion, slowing it down and reducing its vertical and horizontal components of velocity.

3. Can the maximum height and distance of a projectile be greater than the initial height and distance?

No, the maximum height and distance of a projectile cannot be greater than the initial height and distance. This is because the projectile's motion is affected by gravity and air resistance, which act to decrease its height and distance.

4. How does changing the angle of projection affect the maximum height and distance of a projectile?

Changing the angle of projection affects the maximum height and distance of a projectile by altering the vertical and horizontal components of its initial velocity. A higher angle of projection will result in a higher maximum height, but a shorter distance. Conversely, a lower angle of projection will result in a lower maximum height, but a longer distance.

5. Is there a limit to the maximum height and distance a projectile can reach?

Yes, there is a limit to the maximum height and distance a projectile can reach. This is due to the effects of gravity and air resistance, which act to decrease the projectile's height and distance. Additionally, the maximum height and distance are also limited by the initial velocity and angle of projection.

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