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← JEE Main 2022 · 26 Jul · Shift 1
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JEE Main 2022 · 26 Jul · Shift 1, Physics question 51

If the initial velocity in horizontal direction of a projectile is unit vector i^\hat i and the equation of trajectory is y=5x(1−x)y=5x(1-x). The yy component vector of the initial velocity is ______ j^\hat j.

(Take g=10g=10 m/s2^2)

Answer and worked solution

Official answer: 5

Trajectory y=xtan⁡θ−gx22ux2y=x\tan\theta-\frac{gx^2}{2u_x^2} with ux=1u_x=1: tan⁡θ=5\tan\theta=5, so uy=5u_y=5.

Answer: 5