PHYS 101 Lecture Notes - Lecture 6: Muzzle Velocity, Garden Hose, Projectile Motion
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Summary: independence of x- and y- motions in 2-d, analysis of projectile motion, projectile motion is parabolic, range equation. Free-fall (last lecture); can be generalized to: velocity. Constant acceleration: cannonballs, regular cannonballs, and projectiles of all types. At each moment, decompose the projectile"s velocity into x (horizontal) and y (vertical) components. A: vx0, the same as the initial horizontal velocity. in other words, the horizontal motion is. We can apply our previous equations for constant acceleration (here tailored to vy0 = y0 = 0 ): vy = at = -gt y = at2 . This looks a lot like freefall in one dimension, doesn"t it? it is exactly equivalent to freefall ! In particular, what is the time to fall ? just as in the case of 1-d freefall, it is: Time to fall is unaffected by the horizontal motion! t = (2d/g) If we manipulate this a bit we get .