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The position vector of car w.r.t. its st...

The position vector of car w.r.t. its starting point is given as `vecr="at" hati+bt^(2)hatj` where a and b are positive constants. find the equation of trajectory :-

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The correct Answer is:
`y=(-b)/a^(2) x^(2)`
`x=at, y=-bt^(2)=-b(x/a)^(2)`
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Path traced by a moving particle in space is called trajectory of the particle. Shape of trajectiry is decided by the forces acting on the particle. When a coordinate system is associated with a particle motion, the curve equation in which the particle moves [y=f(x)] is called equation of trajectory. It is just giving us the relation among x and y coordinates of the particle i.e. the locus of particle. To find equation of trajectory of a particle, find first x and y coordinates of the particle as a function of time eliminate the time factor. The position vector of car w.r.t. its starting point is given as vec(r)=at hat(i)- bt^(2) hat(j) where a and b are positive constants. The locus of a particle is:-

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ALLEN -MISCELLANEOUS-Exercise-04 [A]
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