Question

v= 3i + (4-10t)j
Find the equation of trajectory.

Answer 1

$V=3i+(4-10t)j$

$dx/dt=3$

$dx=3dt$

$x=3t$ , $t=x/3$

now

$dy/dt=4-10t$

$dy=(4-10t)dt$

$y=4t-\frac{10t^2}{2}=4t-5t^2$

$t=x/3$

$y=4x/3-5(x/3)^2$

$y=\frac{4x}{3}-\frac{5x^2}{9}$