  # The maximum height of projectile formula is ______.

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Updated on: September 25th, 2023 The maximum height of projectile formula is u²sin²θ / 2g. The motion of an object is referred to as projectile motion when it is moving both horizontally and vertically while being affected by gravity. The trajectory, which resembles a parabola, is the name given to the projectile’s path of motion.

The projectile’s range is defined as the horizontal distance it travels. The projectile’s highest height and the distance travelled (also known as the projectile range) make up the two fundamental elements of the trajectory of a projectile motion.

Table of content ## Projectile Formula

The combination of the horizontal and vertical motions results in a parabolic trajectory for the projectile. The projectile rises, reaches its maximum height, and then descends to the ground. The range and maximum height are important quantities that describe the motion of the projectile and are influenced by the initial conditions and the gravitational force acting on the object.

## Determine Maximum Height of Projectile Formula

The maximum height of a projectile can be calculated easily by entering the right values for the beginning velocity and launch angle. When applying this formula, keep in mind to make sure the units are constant (for instance, metres for distances and metres per second for velocities).

Solution:

The formula to calculate the maximum height (H) of a projectile in a projectile motion is given by:

H = u²sin²θ / 2g

where:

• u is the initial velocity of the projectile,
• θ is the launch angle (angle of projection),
• g is the acceleration due to gravity.

In this formula, the initial velocity u is the magnitude of the velocity vector at the time of launch. The angle formed by the initial velocity vector and the horizontal axis is known as the launch angle. Near the surface of the Earth, the acceleration caused by gravity, or g, is typically assumed to be 9.8 m/s2.

Summary:

## The maximum height of Projectile formula is H = u²sin²θ / 2g.

Where g is the acceleration due to gravity, u is the initial velocity, and Θ is the angle at which the object is flung. The maximum height of a projectile can be calculated using the right values for the initial velocity and launch angle. The formula to calculate the maximum height is based on the kinematic equations and the assumption of no air resistance.

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