Posted by alex on Thursday, February 9, 2012 at 5:12pm.
At the beginning of a race, a yacht crosses the start line and sails in
westerly direction at a speed of 4 m s1. The current of the sea is flowing at
2 m s1 towards the northeast. Calculate how far [8 marks] and in what
direction (relative to west) [8 marks] the yacht has traveled after 10
minutes from its crossing the start line.
The answer is
(4,0) + (1.4,1.4) = (2.6,1.4)
= 2.96 m/s at W28.3°N
After 10 minutes (600 seconds) the distance traveled is 1772m
Can you show me how to work this out. thanks!

maths/physics/biomechanics  Henry, Saturday, February 11, 2012 at 5:15pm
4m/s @ 180 Deg + 2m/s @ 45 Deg.
X = 4*cos180 + 2*cos45 = 2.586 m/s.
Y = 0 + 2*sin45 = 1.414 m/s.
tanAr=Y/X = 1.414 / 2.586 = .054687,
Ar = 28.7 Deg. = Reference angle.
A=28.7 + 180=151.3 Deg.,CCW= W28.7Deg
N.
V = X/cosA = 2.586 / cos151.3 = 2.95 m/s @ W28.7Deg.N.
d = 2.95m/s * 600s = 1770 m.
Answer This Question
Related Questions
 maths  At the beginning of a race, a yacht crosses the start line and sails in ...
 maths  a yacht is moving at 10km/h in a south easterly direction and encounters...
 Math  A yacht is moving at 10kmh in a south easterly direction and encounters a...
 physics  A highvoltage line of length 175 m is carrying a current of 105 A at ...
 Physics  A highvoltage line of length 175 m is carrying a current of 105 A at ...
 Physics  a ship is headed towards east at a thrust speed of 7.00 knots. A ...
 Math  A skater races around a 500 the meter circular track a total of ten times...
 Math  A skater races around a 500 the meter circular track a total of ten times...
 Physics  A boat is moving 24.4m/s, 35 degrees North of East against the 10m/s ...
 phyics  A crippled ship is being assisted to port. The motor is stuck, and is ...
More Related Questions