A projectile is given an initial velocity of i ^ + 2 j ^ m s - 1 . The Cartesian equation of its path is g = 10 m s - 1 (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 ^ m s - 1 . The Cartesian equation of its path is g = 10 m s - 1 (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 sin θ u cos θ = 2 1 The desired equation is : y = x tan θ - g x 2 2 u 2 cos 2 θ y = x 2 - 10 x 2 2 ( 2 2 + 1 2 ) 2 1 5 2 y = 2 x - 5 x 2 .

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