Angled Force Problem: Solving for Object Position, Velocity, Speed

[mwhowell]

Homework Statement

An object having mass 2 kg is initially at rest on a horizontal surface having
essentially no friction. Consider the object at the origin of a Cartesian coordinate
system. At t=0 the force F = (8 N , –6 N ) is applied to the object.
a) Where is the object at t = 4 seconds.
b) What is the object’s average velocity between t = 0 – 4s.
c) What is the object’s average speed between t = 0 – 4s.

Homework Equations

The Attempt at a Solution

Ok, I know that there is a force of 10N on the object at 30 degrees but I don't know a formula that will let me calculate with that.

 

[AC130Nav]

Homework Statement

An object having mass 2 kg is initially at rest on a horizontal surface having
essentially no friction. Consider the object at the origin of a Cartesian coordinate
system. At t=0 the force F = (8 N , –6 N ) is applied to the object.
a) Where is the object at t = 4 seconds.
b) What is the object’s average velocity between t = 0 – 4s.
c) What is the object’s average speed between t = 0 – 4s.

The Attempt at a Solution

Ok, I know that there is a force of 10N on the object at 30 degrees but I don't know a formula that will let me calculate with that.

Where did you get the 30 degrees from? If your force is x,y, the triangle formed does indeed have an hypoteneuse of 10; but none of the angles are 30.

Anyway, the -6N seems not to affect a, b, and c; it just seems to pin the object to the x axis.