![]() ![]() A higher initial height implies more time of flight in the projectile motion. ![]() Initial height: Sometimes, the projectile is not launched from the ground but from another surface above it. Under no circumstances is content to be used for commercial gain. When this angle equals zero ( 0), the motion is called horizontal projectile motion. These are free to download and to share with others provided credit is shown. What is the speed and direction of the particle after 3 secs.?Īll downloads are covered by a Creative Commons License. Solution of problems is to find the vertical component of speed at time t and combine this with the original horizontal component of speed, which remains unchanged.Ī particle P is projected at an angle of 45 degrees to the horizontal at a speed of 30 ms -1. The range is simply the horizontal component of speed multiplied by the time of flight. The vertical component of speed is zero at this point(v=0). ![]() The maximum height attained occurs when the particle is momentarily stationary, before falling under gravity. This is attained when the final velocity v = 0. The above diagram represents the motion of an object under the influence of gravity. Then the time of flight is 2t.Ĭonsider motion up to maximum height. y ax + bx 2 Projectile motion is calculated by a way of neglecting air resistance in order to simplify the calculations. So this is twice the time to maximum height. It is the time it takes for the particle to go up, reach its maximum height and come down again. The time of flight is calculated from the vertical component of the velocity. It falls under gravity and is accelerated downwards with an acceleration of g ms -1,where g = 9.8 ms -2 (approx.) Vertically the particle has an initial speed of usinθ. The particle has an initial horizontal speed of ucosθ, which is unchanged throughout the motion. When a particle is projected under gravity at a velocity u at an angle θ to the horizontal (neglecting air resistance) it follows the curve of a parabola. Vertical & horizontal components of velocity ![]()
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