For example, enter the time of flight, distance, and initial height, and watch it do all calculations for you!īe sure also to check the parabola calculator to learn more about such a curve from a mathematical point of view. The range of the projectile is the total horizontal distance traveled during the flight time. Using our projectile motion calculator will surely save you a lot of time. Vertical distance from the ground is described by the formula y = h + V y 0 t − g t 2 / 2 y = h + V_\mathrm / (2 g) h max = h + V y0 2 / ( 2 g ).
Horizontal distance traveled can be expressed as x = V x t x = V_\mathrm x t x = V x t where t t t is the time.I would like to derive the above R max, and heres what Ive done: substitute ( x, y) ( R, 0) into the trajectory equation differentiate the result with respect to substitute ( R, d R d ) ( R max, 0).
Range equation physics calculator free#
We tackled both problems in the horizontal projectile motion calculator and free fall calculator, respectively. y H + x tan x 2 g 2 u 2 ( 1 + tan 2 ), and its maximum range is R max u g u 2 + 2 g H. This range calculator will automatically numerically order your data set so there is no need to input your data in a certain order. If, additionally, α = 90°, then it's the case of free fall. To use our range calculator, simply enter your data set with all values separated by commas and no spaces. If the vertical velocity component is equal to 0, then it's the case of horizontal projectile motion. In the calculator, just introduce your camera type (sensor size), aperture, focus distance, focal length (the real one not the equivalent in 35mm) and.
Three vectors - V V V, V x V_\mathrm x V x and V y V_\mathrm y V y - form a right triangle. Projectile Motion Calculator will find the range, time of flight, maximum height of flight, components of velocity given all other parameters as inputs in.The vertical velocity component V y V_\mathrm y V y is equal to V sin α V \sin\alpha V sin α.The horizontal velocity component V x V_\mathrm x V x is equal to V cos α V \cos\alpha V cos α.
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