Momentum question involving vectors

[jumpyroo92]

Homework Statement

What impulse is needed to change the velocity of a 90.0 kg football player from 3.6 m/s towards the north and make it 1.2 m/s toward the northeast? In what direction must the force be exerted?

Homework Equations

p=mv

The Attempt at a Solution

I drew vectors of the two momentums and found the resultant momentum to be 410N.s @ 11 E of N
but the answer in the back of the book is 259N.s 17 E of S
I can't think of any other way to approach this problem...

 

[Andrew Mason]

Homework Statement

What impulse is needed to change the velocity of a 90.0 kg football player from 3.6 m/s towards the north and make it 1.2 m/s toward the northeast? In what direction must the force be exerted?

Homework Equations

p=mv

The Attempt at a Solution

I drew vectors of the two momentums and found the resultant momentum to be 410N.s @ 11 E of N
but the answer in the back of the book is 259N.s 17 E of S
I can't think of any other way to approach this problem...

This is a vector subtraction problem. The vector you are trying to find is the difference between the two given vectors.

What momentum vector added to the football player's momentum vector (90kg x 3.6 m/s N) gives the resultant momentum vector (ie. 90kg x 1.2 m/s N45^oE)?

AM