Question

7. Problem using vectors: A sailboat sails for 1 hr at 4 km/hr (relative to the water) on a steady compa of 40° east of north. The sailboat is simultaneously carried along by a cul ve to the water) on a steady compass heading end of the hour the boat is 6.12 km from its starting point. The line from its s to its location lies 60 east of north. Find the x (easterly) and y (northerly) compon of the water's velocity. taneously carried along by a current. At the Draw a diagram of the above problem and show your work!

Answer 1

Mer Vicoso 460604 W con 60 - u hinso' West East ulin 40" voking starting poble South bo vedores - Actured velocity of sail boat v 6 +2kmth. Veloaty at which sail boat sails V: 6.12 km/h Actual velouty of sail boat ū= 4km/h Let velocity of water is to angle with North is a we know = it to - vw = ùJ Along East Ti sino = usin40° + Edinso" = 420,643 + 6/2 x 0187 w lince = 7.9 -111 Along North To coso = u costo" t J Loshoº = 3,064 + 3.06 Tubid = 6,124 tij Aquaring li and lij, we get - wo costo & vis dinzo = 16.124) ² + 7, 9j² V = 37.503 + 62.41 Vw = 9.99 Hemin] we get Dividing (i) by Will Vw since 79 = 7.9. Vw Cosce = 61124 0 = 52. 22° tano = 1.29