The maximum height reached by an object launched with an initial velocity V in an upward direction can be determined using basic principles of projectile motion. Assuming the object experiences only the force of gravity and neglecting air resistance, we can calculate the maximum height using the following formula:
h = (V^2) / (2g)
where:
- h is the maximum height reached
- V is the initial velocity in the upward direction
- g is the acceleration due to gravity (approximately 9.8 m/s² on Earth)
This formula assumes that the initial height of the object is zero.
It's important to note that this formula applies only to idealized scenarios without air resistance. In reality, air resistance can significantly affect the motion of objects, particularly at high velocities or over long distances.