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Orthogonal Trajectories

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for a particle moving in a xy plane,the coordinates vary with time as x=3t and y =4t+4.The equation of trajectory of the particle is

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Q. position of a particle moving in x-y plane as function of time t is

2^t i + 4 t^{2}^j

. equation of trajectory of the particle is

Q. A particle is moving in X-Y plane such that

v_{x} = 4 + 4 t

v_{y} = 4 t .

If the initial position of the particle is (1, 2). Then the equation of trajectory will be

Q. The coordinates of a particle at any time t is given by x = 4t – 3t² and y = 3t. Equation of trajectory followed by particle is

किसी समय t पर एक कण के निर्देशांकों को x = 4t – 3t² तथा y = 3t द्वारा व्यक्त किया जाता है। कण द्वारा अनुसरित प्रक्षेप-पथ की समीकरण है

Q. A particle moves in x-y plane such that its position vector varies with time as

¯ r

^i

^j

. Find the equation of the trajectory of the particle.

Q. The coordinates of a particle moving in x-y plane at any instant of time t are

x = 4 t^{2}; y = 3 t^{2}

. The speed of the particle at that instant is :

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