Question

The position of a particle is given as
`vecr=at hati+bt^(2)hatj`
Find the equation of trajectory of the particle.

Answer 1

The oordinates of the particle are
`x=at`
`y=bt^(2)`
substituting `t=(x)/(alpha)` from equation (i)
in equation (ii),
`y=b((x)/(a))^(2)`
or `y=(bx^(2))/(a^(2))`