[alijehad]

A car starts at the origin and moves with velocity = ( 10.0 , northeast) How far from the origin will the car be after traveling for 53.0 ?

[Curlyben]

Need some units of measure here, please.

[alijehad]

A car starts at the origin and moves with velocity = ( 10.0m/s , northeast) How far from the origin will the car be after traveling for 53.0s ?

[jcaron2]

It doesn't matter what direction the car goes; you're only interested in the distance it travels. Hence, you just need to use the simplest of formulas:

distance = rate x time