A projectile is given an initial velocity of $ \hat{i}+2 \hat{j} $. The Cartesian equation of its path is: $ \left(g=10 m / s^{2}\right) $ (Here, $ \hat{i} $ is unit vector along horizontal and $ \hat{j} $ is unit vector vertically upwards)

Question

A projectile is given an initial velocity of $ \hat{i}+2 \hat{j} $. The Cartesian equation of its path is: $ \left(g=10 m / s^{2}\right) $ (Here, $ \hat{i} $ is unit vector along horizontal and $ \hat{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 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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