maths/physics/biomechanics

posted by .

At the beginning of a race, a yacht crosses the start line and sails in
westerly direction at a speed of 4 m s-1. The current of the sea is flowing at
2 m s-1 towards the north-east. 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 -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A high-voltage line of length 175 m is carrying a current of 105 A at a point on the earth where its magnetic field is 5 * 10^(-5) T and points North,34 degree from the vertical axis. A) what is the magnitude and direction of the force …
  2. physics

    A high-voltage line of length 175 m is carrying a current of 105 A at a point on the earth where its magnetic field is 5 * 10^(-5) T and points North,34 degree from the vertical axis. A) what is the magnitude and direction of the force …
  3. maths

    At the beginning of a race, a yacht crosses the start line and sails in westerly direction at a speed of 4 m s-1. The current of the sea is flowing at 2 m s-1 towards the north-east. Calculate how far [8 marks] and in what direction …
  4. Math

    A skater races around a 500 the meter circular track a total of ten times. He crosses the start /finish line seven minutes after the start. Summarize the motion of the skater in terms of position, direction, and speed at the beginning, …
  5. Physics

    A boat is moving 24.4m/s, 35 degrees North of East against the 10m/s water current that flows towards south. What would be the speed of the boat as it crosses the river
  6. Math

    A yacht is moving at 10kmh in a south easterly direction and encounters a 3kmh current from the north. Find the actual speed and direction of the yacht.
  7. maths

    a yacht is moving at 10km/h in a south easterly direction and encounters a 3km/h current from the north. find the actual speed and direction of the yacht
  8. phyics

    A crippled ship is being assisted to port. The motor is stuck, and is moving the boat east with a speed of 15 km/h. The current is flowing a 9 km/h at 30 degrees east of south. A. If the maximum speed of the tugboat which is trying …
  9. Math

    A skater races around a 500 the meter circular track a total of ten times. He crosses the start /finish line seven minutes after the start. Summarize the motion of the skater in terms of position, direction, and speed at the beginning, …
  10. Physics

    a ship is headed towards east at a thrust speed of 7.00 knots. A strong wind pressure causes the ship to deviate to the north at 1.00 knots. The sea current is flowing to the southwest at 4.00 knots. Determine the velocity of the ship …

More Similar Questions