If the initial velocity in horizontal direction of a projectile is unit vector ̂i and the equation of trajectory is y = 5x(1 - x). The y component vector of the initial velocity is ̂j. (Take g = 10 m/s²)

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5. y = 5x - 5x². Near the origin (dy)/(dx) = 5 = (u_y)/(uₓ), and uₓ = 1, so u_y = 5. Check the x² term: g/(2uₓ²) = (10)/2 = 5, consistent.

If the initial velocity in horizontal direction of a projectile is unit vector ̂i and the equation of trajectory is y = 5x(1 - x). The y component vector of the initial velocity is ______ ̂j. (Take g = 10 m/s²)

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