A particle passes through the point P=(−3,1,0)P=(−3,1,0) at time t=3t=3, moving with constant velocity v⃗ =⟨5,3,−2⟩v→=⟨5,3,−2⟩. Find a parametric equation for the position of the particle in terms of the parameter tt.

The parametric equation for the position of the particle is .

Explanation:

Given that,

The point is

Time t = 3

Velocity

We need to calculate the parametric equation for the position of the particle

Using parametric equation for position

....(I)

at t = 3,

Put the value into the formula

Put the value of r₀ in equation (I)

Hence, The parametric equation for the position of the particle is .