Final answer:
The equation for the depth (h) in meters as a function of time (t) for Captain Brain and Mr. Pinky ascending in the Alvin submarine is (h(t) = -1800 + 49t).
Step-by-step explanation:
To calculate the depth of the ocean at that point, we need to take into account the time it took for the signal to travel to the bottom of the ocean and back to the ship.
Since the speed of sound in seawater is given as 1450 meters per second (m/s), and the round trip time for the signal is given (either 1,5 seconds or 2,5 seconds), we can use the formula:
Depth = Speed × (Time / 2)
This formula is used because the signal has to travel to the bottom and back to the surface, which means the total distance covered is twice the depth of the ocean. Hence, the time is divided by 2 to calculate the one-way distance.
Example Calculation
If the round trip time for the signal is 1.5 seconds, the depth can be calculated as follows:
Depth = 1450 m/s × (1.5 s / 2) = 1450 m/s × 0.75 s = 1087.5 meters
If the round trip time for the signal is 2.5 seconds, then:
Depth = 1450 m/s × (2.5 s / 2) = 1450 m/s × 1.25 s = 1812.5 meters
Your complete question is: After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start. 1800 meters below the surface of the water, and ascend at 49 meters per hour.; Note: under the water is a negative number. Write an equation to model this situation (use m for meters and h for hours). Question Help: □ Video □ Message instructor