# physics

posted by .

A boat is traveling on a bearing of 25 degrees East of North at a speed of 4 knots (a knot is 1.852 km/h). After traveling for 3 hours, the boats heading is changed to due South and it travels for an additional 2 hours at 5 knots. Using a Vector diagram, what is the resultant?

• physics -

V1 = 4 * 1.852km/h = 7.408 km/h.[65o].
d1 = 3h * 7.408km/h = 22.224 km/h[65o].

V2 = 5 * 1.852km/h = 9.26 km/h.[270o].

d2 = 9.26km/h * 2h = 18.52 km[270o].

R = d1 + d2.
R = 22.224km[65o] + 18.52 km[270o]

X = 22.224*cos65 = 9.39 km.
Y = 22,224*sin65 + 18.52*sin270=1.62 km

tanA = Y/X = 1.62/9.39 = 0.17271
A = 9.8o

R = X/cosA = 9.39/cos9.8=9.53 km[9.8o].
= Resultant.

## Similar Questions

1. ### physics

Two vehicles with the same mass collide and lock together traveling 28 m/s at 37 degrees north of east after the collision. How fast was the car traveling that was heading north while the other vehicle was traveling east?
2. ### math

. A boat is travelling on a bearing of 25° east of north at a speed of 5 knots (a knot is 1.852 km/h). After travelling for 3 hours, the boat heading is changed to 180° and it travels for a further 2 hours at 5 knots. What is the …
3. ### math

Two fishing boats depart a harbor at the same time, one traveling east, the other south. The eastbound boat travels at a speed 1 mi/h faster than the southbound boat. After nine hours the boats are x = 45 mi apart. Find the speed of …
4. ### physics

A boat is traveling on a bearing of 25 degrees East of North at a speed of 4 knots (a knot is 1.852 km/h). After traveling for 3 hours, the boats heading is changed to due South and it travels for an additional 2 hours at 5 knots. …
5. ### physics

A boat is traveling on a bearing of 25 degrees East of North at a speed of 4 knots (a knot is 1.852 km/h). After traveling for 3 hours, the boats heading is changed to due South and it travels for an additional 2 hours at 5 knots. …
6. ### physics

A boat is traveling on a bearing of 25 degrees East of North at a speed of 4 knots (a knot is 1.852 km/h). After traveling for 3 hours, the boats heading is changed to due South and it travels for an additional 2 hours at 5 knots. …
7. ### physics

A boat is traveling on a bearing of 25 degrees East of North at a speed of 4 knots (a knot is 1.852 km/h). After traveling for 3 hours, the boats heading is changed to due South and it travels for an additional 2 hours at 5 knots. …
8. ### physics

A boat is traveling on a bearing of 25 degrees East of North at a speed of 4 knots (a knot is 1.852 km/h). After traveling for 3 hours, the boats heading is changed to due South and it travels for an additional 2 hours at 5 knots. …
9. ### Pre-calculas

Boat A leaves a dock headed due east at 1:00 PM traveling at a speed of 16 mi/hr. At 2:00 PM, Boat B leaves the same dock traveling due north at a speed of 18 mi/hr. Find an equation that represents the distance d in miles between …
10. ### Pre-calc

Boat A leaves a dock headed due east at 1:00PM traveling at a speed of 13 mi/hr. At 2:00PM, Boat B leaves the same dock traveling due north at a speed of 20 mi/hr. Find an equation that represents the distance d in miles between the …

More Similar Questions