How Long Does It Take for a Speedboat to Reach a No-Wake Buoy Marker?
Calculation of Time Taken for the Boat to Reach the Buoy:
Final answer: The total time taken is approximately 6.83 seconds for the boat to reach the buoy.
Explanation:
To find the time it takes for the boat to reach the buoy, we can use the equation:
d = v0t + 0.5at2
Where:
d = displacement (100 m)
v0 = initial velocity (32.0 m/s)
a = acceleration (-3.5 m/s²)
t = time
Plugging in the values, we get:
100 = (32.0)t + 0.5(-3.5)(t2)
After rearranging the equation and solving for t using the quadratic formula, we find that t â 6.83 seconds. Therefore, it takes approximately 6.83 seconds for the boat to reach the buoy.