Physics
posted by Student .
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?

The time (T) that it takes the spyglass to go in the xdirection is the same amount of time that it takes to travel in the ydirection. Since in the Ydirection 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 xdirection, use D=VT and solve for the distance in the xdirection using the value for T that you calculated. D=(4.63m/s)*T.
Respond to this Question
Similar Questions

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 … 
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 … 
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 … 
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 … 
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? 
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 … 
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 … 
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. … 
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? 
physics
A sandal is dropped from the top of a 15.0mhigh 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 …