What is the velocity vector for a moving particle with a position vector r(t)=(t,e^t)? (1,e^t) (t, ln(t)) (t^2)/2, e^t (2, e^t) Thanks!!

Question

What is the velocity vector for a moving particle with a position vector
`r(t)=(t,e^t)`?


`(1,e^t)`

(t, ln(t))

(t^2)/2, e^t

(2, e^t)

Thanks!!

Answer 1

(1, eᵗ)

Explanation:

r(t) = (t, eᵗ)

v(t) = dr/dt

v(t) = (1, eᵗ)