Our projectile motion calculator is a tool that helps you analyze the parabolic projectile motion. It can find the time of flight, but also the components of velocity, the range of the projectile, and the maximum height of flight.Continue reading if you want to understand what is a projectile motion, get familiar with the projectile motion definition, and determine the abovementioned values. This collection of interactive simulations allow learners of Physics to explore core physics concepts by altering variables and observing the results. This section contains more than 70 simulations and the numbers continue to grow.
How to find the maximum height of a projectile?Maximum height of the object is the highest vertical position along its. The object is flying upwards before reaching the highest point - and it's falling after that point. It means that at the highest point of projectile motion, the vertical velocity is equal to 0 (Vy = 0).0 = Vy – g. t = V₀. sin(α) – g.
thFrom that equation we can find the time th needed to reach the maximum height hmax:th = V₀. sin(α) / gThe formula describing vertical is:y = Vy.
t – g. t² / 2So, given y = hmax and t = th, we can join those two equations together:hmax = Vy. th – g.
th² / 2hmax = V₀². sin(α)² / g – g. (V₀. sin(α) / g)² / 2hmax = V₀².
sin(α)² / (2. g)And what if we launch a projectile from some initial height h? Apparently, the calculations are a piece of cake - all you need to do is add this initial elevation!hmax = h + V₀². sin(α)² / (2. g)Let's discuss some special cases with changing angle of launch:.if α = 90°, then the formula simplifies to:hmax = h + V₀² / (2. g) and is the longest.If, additionally, Vy = 0, then it's the case of.
Also, you may want to have a look at our even more accurate equivalent - calculator.if α = 45°, then the equation may be written as:hmax = h + V₀² / (4. g) and in that case, is maximal if launching from the ground (h = 0).if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of. As of 0° is 0, then the second part of the equation disappears, and we obtain:hmax = h - initial height from which we're launching the object is the maximum height in projectile motion. Maximum height calculator helps you find the answerJust relax and look how easy-to-use this maximum height calculator is:.
Choose the velocity of the projectile. Let's type 30 ft/s. Enter the angle. Assume we're kicking a ball ⚽ at an angle of 70°. Optionally, type the initial height.
In our case, our starting position is the ground, so type in 0. Can the ball fly over a 13-ft fence?. Here it is - maximum height calculator displayed the answer!
It's 12.35 ft. So it will not fly over the mentioned barrier - throw it harder or increase the angle to reach your goal.Just remember that we don't take air resistance into account!