Coordinate calculation $(x,y)$ in $2$ dimensions based on given data

Question

I would like your help in the following problem:

Given that I have two cartesian coordinates: $S$ for the source at $(2.3,7.1)$ and T for the target at $(3,6)$. While a vehicle is moving from source to target at a constant speed of $0.1$ m/s, what are the cartesian coordinates of the vehicle $5$ seconds after the movement started?

Thank you and I would appreciate any help.

Answer 1

Find the equation of the line through $S$ and $T$. You have two points, so the two-point form is what you want. How far does the vehicle move? You want the point on the line that is that far from $S$. Write the equation for a circle around S with radius the distance the vehicle moves. Solve that simultaneously with the equation for the line.