Need help in solving physics word problem

Physics
Tutor: None Selected Time limit: 1 Day

A novice golfer on the green takes three strokes to sink the ball. The successive dis-placements are 3.5 m to the north, 4.7 m northeast, and 3 m 44◦ west of south. Start-ing at the same initial point, an expert (lucky) golfer could make the hole in a single displace-ment.
What is the magnitude of this single dis-placement?
Answer in units of m with three decimal places

Jun 3rd, 2015

Thank you for the opportunity to help you with your question!

take north as positive y axis and east positive of x axis, 

r1 = 3.5 j 

r2 = 4.7*sqrt(2)/2 (i +j) = 3.323 i +3.323j

r3 = 3*(-cos44◦-sin44◦) =  -2.158i-2.084j

r = r1+r2+r3 = 1.165 i +4.739j

|r| = sqrt(1.165^2+4.739^2) =  4.88 m 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 3rd, 2015

wrong answer

Jun 3rd, 2015

oh it is 3  decimal place so the answer should be 4.880 m 

Jun 3rd, 2015

the homework system doesn't accept it

Jun 3rd, 2015

try 4.881 m 

Jun 3rd, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Jun 3rd, 2015
...
Jun 3rd, 2015
Feb 20th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer