Physics

posted by .

A sailor climbs to the top of the mast, 12.55 m above the deck, to look for land while his ship moves steadily forward through calm waters at 4.63 m/s. Unfortunately, he drops his spyglass to the deck below.
Where does it land with respect to the base of the mast below him?

  • Physics -

    The time (T) that it takes the spyglass to go in the x-direction is the same amount of time that it takes to travel in the y-direction. Since in the Y-direction the initial velocity is 0 and acceleration is equal to gravity (9.8m/s^2), use the equation D=ViT+1/2(aT^2). Once you plug in the values, you should get a simplified equation of D=1/2(9.8m/s^2)(T)^2. rearranging it to solve for T should result in the equation looking as followed: T=[2D/(9.8m/s^2)]^1/2. Since velocity is constant in the x-direction, use D=VT and solve for the distance in the x-direction using the value for T that you calculated. D=(4.63m/s)*T.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics guide me through

    On a calm, bright day, you're scuba diving in a deep lake (n = 1.33), 5.40 m from your sailboat. When you are 3.10 m below the surface, the top of the sailboat mast appears to you to be in a direction 40.0° from vertical. Calculate …
  2. math

    1)An object is suspended from two points on the ceiling 25cm apart by two pieces of rope of lengths 27cm and 24 if the object exerts from a downward force 200N then find the tension in each rope 2)An airplane heading north at 550km/h …
  3. physics

    A lighthouse that rises 46.0 ft above the surface of the water sits on a rocky cliff that extends 19 ft out into the ocean from the base of the lighthouse. A sailor on the forward deck of a ship sights the top of the lighthouse at …
  4. Physics

    A lighthouse that rises h = 50 ft above the surface of the water sits on a rocky cliff that extends 19 ft from its base, as shown in the figure. A sailor on the deck of a ship sights the top of the lighthouse at an angle of θ …
  5. math

    The mast of a sailing ship is 20 ft tall. A rope is streched 26 ft from the top of the mast to a cleat on the deck of the ship. How far is the cleat from the base of the mast?
  6. Physics

    Problem 2- 1. As a ship is approaching the dock at 45 cm/s, an important piece of landing equipment needs to be thrown to it before it can dock. This equipment is thrown at 15.0 m/s at 60∘ above the horizontal from the top of …
  7. physics

    A lighthouse that rises h1 = 47.0 ft above the surface of the water sits on a rocky cliff that extends d = 17.4 ft from its base, as shown in the figure below. A sailor on the deck of a ship sights the top of the lighthouse at an angle …
  8. physics

    A lighthouse that rises 49 ft above the surface of the water sits on a rocky cliff that extends 19 ft from its base. A sailor on the deck of a ship sights the top of the lighthouse at an angle of 30.0 ∘ above the horizontal. …
  9. physics math

    A cruise ship moves southward in still water at a speed of 20.0 km/h, while a passenger on the deck of the ship walks toward the east at a speed of 5.0 km/h .The passengers velocity with respect to Earth is?
  10. physics

    A sandal is dropped from the top of a 15.0-m-high mast on a ship moving at 1.75 m/s due south. Calculate the velocity of the sandal when it hits the deck of the ship: (a) relative to the ship and (b) relative to a stationary observer …

More Similar Questions