How Do I Calculate the Maximum Height of a Projectile?

AI Thread Summary
To calculate the maximum height of a projectile, the key is determining when it reaches that height, which occurs when the vertical velocity is zero. The relevant equation for maximum height is H = (u^2 sin^2 A) / (2g), where u is the initial velocity, A is the launch angle, and g is the acceleration due to gravity. The discussion highlights the importance of using the correct trigonometric function, emphasizing sin^2 A instead of sin(2A). Additionally, the equation for vertical displacement, s_y = u_y t - (1/2)gt², is mentioned as a tool for calculating height over time. Understanding these equations is crucial for accurately determining the maximum height above sea level of a projectile.
Bugsy23
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I need to calculate the maximum height above sea level of a projectile. I already have the values for the initial velocity, the angle and the time of flight, and I have the following equation to calculate the y-component of the displacement from the launch point:
sy=uyt-1/2gt²
But how do I know at what time the projectile has reached its maximum height and begins accelerating downwards?
 
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Bugsy23 said:
I need to calculate the maximum height above sea level of a projectile. I already have the values for the initial velocity, the angle and the time of flight, and I have the following equation to calculate the y-component of the displacement from the launch point:
sy=uyt-1/2gt²
But how do I know at what time the projectile has reached its maximum height and begins accelerating downwards?


Do you know any equations that relate initial velocity, acceleration, time and final velocity?
 
Note the vertical velocity is zero at the maximum height...
 
calculated it... H=(u^2 sin2A)/g
 
Sakriya said:
calculated it... H=(u^2 sin2A)/g

Assuming you meant sin^2 A and not sin(2A) it's correct, except
for a factor (1/2) that you're missing.
 
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