you travel at 25 miles per hour for 3.5 hours, traveling due north. Then you travel due east at 36.2 miles per hour for 0.75 hours. What is your total displacement and direction? Yahoo answers
Answers (1)
25 miles - 1 Hour
X miles - 3.5 Hours
X= 87.5 Miles North
36.2 miles - 1 Hour
Y miles - 0.75 Hour
Y= 36.2 x 0.75 = 27.15 miles East
N
/\
| ------------->
| 27.15miles
87.5miles |
|
|
|
-----------------------0---------------------------- E
Your direction is NE
Your displacement is the distance between 0 and your last position ">".
Piragoras:
If:
a= 87.5
b= 27.15
c= displacement
c^2 = b^2 + a^2
c^2 = 87.5^2 + 27.15^2
c^2 = (87.5 x 87.5) + (27.15 x 27.15)
c^2 = 7656.25 + 737.1225
c^2 = 8393.3725
___________
c = \/ 8393.3725
c= 91.61535078795474
c~ 91.62 miles
SO:
91.62 miles NE