Enter the initial velocity and the angle of projection into the calculator to determine the peak height of the projectile. The calculator uses the physics of projectile motion to calculate the maximum height reached by the object.
Peak Height Formula
The following formula is used to calculate the peak height of a projectile.
H = (V^2 * sin(θ)^2) / (2 * g)
Variables:
- H is the peak height (meters)
- V is the initial velocity (meters per second)
- θ is the angle of projection (degrees)
- g is the acceleration due to gravity (9.81 m/s²)
To calculate the peak height, square the initial velocity, multiply by the square of the sine of the projection angle, and divide the result by twice the acceleration due to gravity.
What is Peak Height?
Peak height in projectile motion refers to the maximum vertical distance a projectile reaches above its launch position. It is a key characteristic in the study of kinematics and is influenced by the initial velocity of the projectile and the angle at which it is projected. Understanding peak height is important in various applications such as sports, ballistics, and engineering.
How to Calculate Peak Height?
The following steps outline how to calculate the Peak Height.
- First, determine the initial velocity (V) in meters per second.
- Next, determine the angle of projection (θ) in degrees.
- Next, gather the formula from above = H = (V^2 * sin(θ)^2) / (2 * g).
- Finally, calculate the Peak Height (H) in meters.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Initial velocity (V) = 30 m/s
Angle of projection (θ) = 45 degrees
