How do you calculate ymax

Answer: The water droplets leaving the hose can be treated as projectiles, and so the maximum height can be found using the formula:. What is the maximum height of the athlete's center of mass? Answer: The center of mass of the athlete can be found by treating the person as a projectile, and using the maximum height formula:.

Note: High jumpers use a technique called the "Fosbury flop" to lower their centers of mass below their bodies. Using this technique means that they can jump over bars approximately 20 cm higher than their centers of mass. From that equation we can find the time th needed to reach the maximum height hmax :.

And what if we launch a projectile from some initial height h? No worries! Apparently, the calculations are a piece of cake - all you need to do is add this initial elevation! Also, you may want to have a look at our even more accurate equivalent - the free fall with air resistance calculator. Embed Share via. Table of contents: How to find the maximum height of a projectile?

Maximum height calculator helps you find the answer. How to find the maximum height of a projectile? Maximum height calculator helps you find the answer Just relax and look how easy-to-use this maximum height calculator is: Choose the velocity of the projectile.

Enter the angle. Optionally, type the initial height. In the horizontal direction, there is no change in speed, as air resistance is assumed to be negligible , so acceleration is 0. Initial velocity , the initial height the projectile is being launched from, and gravity will all affect a projectile launched horizontally. Air resistance will also have an effect in real life, but for most theoretical calculations it is negligible and is therefore ignored.

If the projectile has wings , this will also impact its motion, as it will glide. A projectile is an object that is in motion, in the air and has no force acting upon it other than the acceleration due to gravity this means that it cannot be self-propelled.

You can probably think of many examples: a thrown ball or a stone thrown from a trebuchet. Even the Moon is a projectile , with respect to the Earth! Galileo was the first person to describe projectile motion accurately , by breaking down motion into a horizontal and vertical component, and realizing that the plot of any object's motion would always be a parabola. He described it in his book, On Motion, published around the s. An object follows a parabola because of how its two components of motion - the horizontal and vertical - are affected by gravity.

The horizontal component is not affected by gravity at all, and so changes in a constant, linear fashion. The vertical part, however, is constantly affected by gravity , and so it will increase in height, and then decrease, accelerating due to gravity. Embed Share via. Table of contents: What is projectile motion? What is projectile motion? Projectile motion definition Imagine an archer sending an arrow in the air. Projectile motion analysis Projectile motion is pretty logical.

Our projectile motion calculator follows these steps to find all remaining parameters: Calculate the components of velocity. Three vectors - V , Vx and Vy - form a right triangle. Write down the equations of motion. Velocity Horizontal velocity is equal to Vx.

Acceleration Horizontal acceleration is equal to 0. Vertical acceleration is equal to -g because only gravity acts on the projectile. Calculate the time of flight. When the projectile reaches the maximum height, it stops moving up and starts falling. Projectile motion equations Uff, that was a lot of calculations! FAQ Does projectile motion have to travel horizontally?

What is an example of projectile motion? How can a projectile fall around the Earth?