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

Step-by-step solution

Given here, initial velocity, u x = 1 Equation of trajectory, y = 5   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 ⇒ 5 1 = 5 u → y = 5 j ^