Suppose that a particle's position is described by r(t)=(t+3)i+(t2+2)j. give an equation (in the form of a formula involving x and y set equal to 0 ) whose solutions consist of the path of the particle. find the velocity vector for the particle: v(t)

The velocity for the particle is (1i+2tj).

Explanation:

Given that,

The particle position is

...(I)

In form of x and y

....(II)

...(III)

From equation (II)

Put the value of t in equation (III)

We need to calculate the velocity

Velocity is the rate of change of the position of the particle

Hence, The velocity for the particle is (1i+2tj).