You are on a boat heading out to sea. The boat is going 5m/s toward a buoy (the origin in your chosen frame of reference) that is 300 meters away. How long will it take to be 500 meters beyond the buoy?
d = 300 + 500 = 800m,
d = V*t,
t = d / V = 800 / 5 = 160s = 2.67 min.
To find out how long it will take to be 500 meters beyond the buoy, we can use the equation of motion:
Distance = Speed × Time
In this case, the boat is moving at a speed of 5 m/s, and it is initially 300 meters away from the buoy. We want to know how long it will take for the boat to be 500 meters beyond the buoy, so the distance we are interested in is 800 meters (300 meters to reach the buoy + 500 meters beyond the buoy).
Let's solve for time:
Distance = Speed × Time
800 meters = 5 m/s × Time
To isolate Time, divide both sides of the equation by the speed:
Time = 800 meters / 5 m/s
Time = 160 seconds
Therefore, it will take 160 seconds for the boat to be 500 meters beyond the buoy.