Recall Newtons second law of motion: if at any time t. The drag equation includes a factor for fluid density and drag is greater for higher density. We (you) will derive parametric equations that describe the trajectory of this projectile. So horizontal velocity is constant and unchanging and vertical velocity in an upwards direction only reduces due to gravity and increases ad finitum when an object is falling.The drag equation gives the force which opposes motion and it's necessary to solve a differential equation to determine actual velocity, which reduces to zero because of drag.
The equations above assume that a projectile is travelling in a vacuum and ignore the effects of air resistance or drag. You can find the proofs of these results in our tutorial videos. The minus sign is because it acts in the opposite direction to the initial velocity U, which is positive in the upward direction.Įugene Brennan (author) from Ireland on December 09, 2019:
You know the initial velocity u, and also velocity is zero when the object reaches max height just before it starts to fall again. Question: If I am to find how high an object rises, should I use the 2nd or 3rd equation of motion? Before the days of transistors, integrated circuits and microprocessors, vacuum tubes (also known as "valves"), were used in electronics and performed the same function as a transistor (i.e., they could be used as a switch or amplifier). At the time, it was proclaimed in the media as "a human brain". Army and the incentive for its design was to enable the calculation of ballistic tables for artillery shells, taking into account the effects of drag, wind and other factors influencing projectiles in flight.ĮNIAC, unlike the computers of today, was a colossal machine, weighing 30 tons, consuming 150 kilowatts of power and taking up 1,800 square feet of floor space. If the velocity is increased sufficiently, the cannonball will travel all the way around the Earth.īrian Brondel, CC by SA 3.0 via Wikipedia A Short History LessonĮNIAC (Electronic Numerical Integrator And Computer) was one of the first general-purpose computers designed and built during WW2 and completed in 1946. Initial horizontal velocity is typically written as ux subscript x is used to represent the horizontal rectilinear motion.