![]() ![]() While the general principles are the same for each type of problem, the approach will vary due to the fact the problems differ in terms of their initial conditions. There are two basic types of projectile problems that we will discuss in this course. In a typical physics class, the predictive ability of the principles and formulas are most often demonstrated in word story problems known as projectile problems. Combining the two allows one to make predictions concerning the motion of a projectile. The mathematical formulas that are used are commonly referred to as kinematic equations. The physical principles that must be applied are those discussed previously in Lesson 2. In the case of projectiles, a student of physics can use information about the initial velocity and position of a projectile to predict such things as how much time the projectile is in the air and how far the projectile will go. Such predictions are made through the application of physical principles and mathematical formulas to a given set of initial conditions. The time of flight T f is found by solving the equationįor t and taking the largest positive solution.One of the powers of physics is its ability to use physics principles to make predictions about the final outcome of a moving object. Hence the maximum height y max reached by the projectile is given by The time T m at which y is maximum is at the vertex of y = y 0 + V 0 sin(θ) t - (1/2) g t 2 and is given by The displacement is a vector with the components x and y given by: ![]() ![]() V x = V 0 cos(θ) and V y = V 0 sin(θ) - g t The vector acceleration A has two components A x and A y given by: (acceleration along the y axis only)Īt time t, the velocity has two components given by The vector initial velocity has two components: V 0x and V 0y given by: Projectile Equations used in the Calculator and Solver Range = 50m, Initial Velocity: V 0 = 30m/s, Initial Height: y 0 = 10mĭecimal Places = 4 Initial Angle = ° Maximum Height = meters Flight Time= seconds Equation of the Path:: y = x 2 + x + The outputs are the initial angle needed to produce the range desired, the maximum height, the time of flight, the range and the equation of the path of the form \( y = A x^2 + B x + C\) given V 0 and y 0. Initial Velocity: V 0 = 30m/s, Initial Angle: θ = 50°, Initial Height: y 0 = 10mĭecimal Places = 4 Maximum Height = meters Flight Time= seconds Range = meters Equation of the Path: y = x 2 + x +Ģ - Projectile Motion Calculator and Solver Given Range, Initial Velocity, and Height Enter the range in meters, the initial velocity V 0 in meters per second and the initial height y 0 in meters as positive real numbers and press "Calculate". The outputs are the maximum height, the time of flight, the range and the equation of the path of the form \( y = A x^2 + B x + C\). The projectile equations and parameters used in this calculator are decribed below.ġ - Projectile Motion Calculator and Solver Given Initial Velocity, Angle and Height Enter the initial velocity V 0 in meters per second (m/s), the initial andgle θ in degrees and the initial height y 0 in meters (m) as positive real numbers and press "Calculate". An online calculator to calculate the maximum height, range, time of flight, initial angle and the path of a projectile. ![]()
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