A projectile is given an initial velocity of i ^ + 2 j ^ . What is the Cartesian equation of its path? g = 10 m s - 2 (Here, i ^ is the unit vector along horizontal and j ^ is unit vector vertically upwards)

Question

A projectile is given an initial velocity of i ^ + 2 j ^ . What is the Cartesian equation of its path? g = 10 m s - 2 (Here, i ^ is the unit vector along horizontal and j ^ is unit vector vertically upwards), y = 2 x - 5 x 2, y = x - 5 x 2, 4 y = 2 x - 5 x 2, y = 2 x - 25 x 2

MARKS App · Accepted Answer

tan ⁡ θ = u s i n θ u cos ⁡ θ = 2 1 The desired equation is: y = x t a n θ - g x 2 2 u 2 cos 2 ⁡ θ Or y = x 2 - 10 x 2 2 2 2 + 1 2 2 1 5 2 Or y = 2 x - 5 x 2

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