If the initial velocity in horizontal direction of a projectile is unit vector $\hat{i}$ and the equation of trajectory is $y = 5 x (1 - x)$ . The $y$ component vector of the initial velocity is _____ $\hat{j}$
(Take $g = 10 m s^{- 2}$ )

Question

If the initial velocity in horizontal direction of a projectile is unit vector $\hat{i}$ and the equation of trajectory is $y = 5 x (1 - x)$ . The $y$ component vector of the initial velocity is _____ $\hat{j}$

(Take $g = 10 m s^{- 2}$ )

Aicharya · Accepted Answer

Given here, initial velocity, u x = 1 Equation of trajectory, y = 5 &#160; x 1 - x = 5 x - 5 x 2 Now, differentiating the above equation, d y d t = 5 d x d t - 10 x d x d t For initial y -component of velocity u y = d y d t x = 0 &#8658; 5 1 = 5 u &#8594; y = 5 j ^

If the initial velocity in horizontal direction of a projectile is unit vector i ^ and the equation of…

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