Question

During the Boston Tea Party, crates of tea were thrown off of British ships with an initial horizontal velocity of 2.9 m/s. If it took the crates

0.94 sec to splash in the water, how high was the ship? Round any non-integer answers to no less than 4 decimal places.

Answer 1

The height of the ship during the Boston Tea Party was approximately 4.545 meters.

Step-by-step explanation:

To determine the height of the ship during the Boston Tea Party, we can use the equations of motion in physics.

The horizontal velocity of the crates of tea thrown off the ship is 2.9 m/s.

The time it takes for the crates to splash into the water is 0.94 seconds.

Using the equation distance = velocity x time, we can calculate the horizontal distance traveled by the crates:

2.9 m/s x 0.94 s = 2.726 meters.

Since the movement is in a vertical direction (up and down motion), we can use the equation height = 0.5 x acceleration x time^2 to calculate the height.

Assuming the acceleration due to gravity is 9.8 m/s^2 (which is the standard on Earth), and the time for the crates to splash is 0.94 seconds, we can substitute these values into the equation to find the height:

0.5 x 9.8 m/s^2 x (0.94 s)^2 = 4.545 meters.

Therefore, the height of the ship during the Boston Tea Party was approximately 4.545 meters.