Speedboat Acceleration Problem: Time and Velocity at No-Wake Buoy | Kevin

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To solve the speedboat acceleration problem, the pilot needs to apply equations of motion for constant acceleration. The initial velocity is 30.0 m/s, the acceleration is -3.5 m/s², and the distance to the buoy is 100 m. By substituting these values into the relevant equations, one can calculate the time it takes to reach the buoy and the final velocity upon arrival. It's important to start with the known variables to find the unknowns. Engaging with the problem is essential for finding a solution.
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A speedboat moving at 30.0 m/s approaches a no-wake buoy marker 100m ahead.
The pilot slows the boat with a constant acceleration of -3.5 m/s2 by reducing the throttle. (a) How long does it take the boat to reach the buoy? (b) What is the velocity
of the boat when it reaches the bouy?

Thanks,
Kevin
 
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Don't you know any equations of motion for constant acceleration that might be related to this problem?
 
Dick,
I know all of the equations however I seem to be missing a variable to get started.
I'm not seeing how to start with time or final velocity.

Kevin
 
You have an initial distance, an initial velocity and the acceleration. Put some of those numbers into the equations you know and solve for the variables you don't know. You have to get started before anyone can help. The attempt doesn't have to be correct.
 

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