The quantities will not be forced to be consistent until you click on the desired quantity. When you have finished entering data, click on the active text above for the quantity you wish to calculate. To explore the effects of the various parameters on the motion of the rocket, you may substitute numbers in any of the boxes. Velocity= Initial velocity + Exhaust velocity x ln( original mass / mass) m 0 = kg Rocket in SpaceUnder the influence of the rocket thrust in a gravity-free environment, the resulting velocity can be calculated from: First rocket equation If the burn rate is constant at Δm/Δt then the velocity as an explicit function of time would beįor a variable burn rate, the denominator would become an integral. If you want a specific expression for velocity in terms of time, that can be developed in terms of the exhaust rate as a function of time. The above is the standard "rocket in space" scenario where you typically calculate the velocity after a given time of thrusting in terms of the amount of fuel burned and exhausted. Integrating from the initiation of thrust to an arbitrary time t Rocket in SpaceUnder the influence of the rocket thrust in a gravity-free environment, the acceleration is HyperPhysics***** Mechanics ***** Newton's laws Integrating from the initiation of the thrust to an arbitrary time t: Under the influence of the rocket thrust and gravity, the acceleration is
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