To find the maximum height reached by an object thrown upwards at an angle, you need to consider the projectile motion of the object. Here's a step-by-step approach to determine the maximum height:
Break down the motion: Resolve the initial velocity into horizontal and vertical components. The vertical component will be responsible for the object's upward and downward motion, while the horizontal component remains constant throughout.
Determine the time of flight: The time it takes for the object to reach the highest point is called the time of flight. You can calculate it using the vertical component of the velocity and the acceleration due to gravity. The formula is: time of flight = (2 * vertical component of velocity) / (acceleration due to gravity)
Find the maximum height: Once you have the time of flight, you can determine the maximum height reached by the object. The formula is: maximum height = (vertical component of velocity)^2 / (2 * acceleration due to gravity)
Note: Make sure the units are consistent throughout the calculations (e.g., meters per second for velocity and meters per second squared for acceleration due to gravity).
It's important to note that this approach assumes no air resistance and a constant gravitational acceleration. In reality, these factors can affect the actual maximum height reached.