10/4/2023 0 Comments Horizontal range calculatorIf an object moves upwards after reaching the maximum height it keeps falling towards the earth. In case of intial eleveation not being zero the formula gets a bit complicated and we can write it as R = Vx We can rewrite the formula as R = V2 * sin(2α) / g If the object is thrown from the ground then the formula is R = Vx * t = Vx * 2 * Vy / g. Range of a Projectile is nothing but the horizontal distance covered during the flight time. Vertical Acceleration = -g since only gravity acts on the projectile Vertical Distance from the ground is given by y = h + Vy * t – g * t2/2 in which g is the gravity Horizontal Distance x = Vx * t in which t is the time. If α = 90° then it is said to be a free fall.įormulas to calculate the velocity, distance and acceleration are as follows ![]() If the vertical velocity component is 0 then it is said to be a horizontal projectile motion. Vertical Velocity Component is given by Vy = V*sin(α)Īll the three vectors V, Vx, Vy form a right traingle. Horizontal Velocity Component is given by Vx = V*cos(α) If the initial velocity of the object is V, initial height is h, angle of launch is α you can find the rest of the parameters like range, components of velocity, time of flight, maximum height, etc. The time of flight T f is found by solving the equationįor t and taking the largest positive solution.Let us consider an object is having projectle motion. 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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