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Unformatted text preview: (d) velocity is non-zero and acceleration is zero. (e) Toby Solution In general, two-dimensional, frictionless projectile motion has both horizontal and vertical components (and if there isnt any cross-wind, we can turn three-dimensional mo-tion into two-dimensional motion by choosing our coor-dinate system appropriately). Gravity acts in the vertical direction only, so the horizontal component of the initial velocity is unaected by gravity ( v x ( t ) = v ,x n = zero ). The vertical motion is uniformly accelerated (the acceler-ation due to gravity is always present), and so is quadratic in time. And so x ( t ) = x + v ,x t and y ( t ) = y + v ,y t 1 2 gt 2 and the vector position function is V r ( t ) = p x ( t ) y ( t ) P 2 The x-y graph of this function (parameterized by t ) is a parabola. Total Points for Problem: 2 Points 3...
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