Tracking a Particle's Motion in the xy Plane

[neutron star]

Homework Statement

A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 3.0 m, y = 6.0 m, and has velocity v = 1.0 m/s i-hat + 7.0 m/s j-hat. The acceleration is given by the vector a = 9.0 m/s$$^2$$ i-hat + -1 m/s$$^2$$ j-hat.


What is the velocity vector at t=3.0s

What is the position vector at t=5.0s

What is the magnitude and direction of the position vector

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

Hi neutron star!

The standard constant acceleration equations apply to the the components (of position velocity and acceleration) in any particular direction …

so try them in the 9i - j direction (and of course, there's zero acceleration in the perpendicular direction).