Calculating Distance and Time given mass,velocity,and Force.

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To calculate the distance and time for a power boat coasting to a halt after shutting off its engine, the mass of the boat (475 kg) and the drive force (765 N) are provided. The initial approach involved using the formula F=ma to find acceleration, but the method for calculating time and distance was incorrect. The correct approach requires applying kinematics equations, considering the boat's final velocity as it comes to rest. The discussion highlights confusion over the relationship between acceleration, distance, and time, emphasizing the need for a proper understanding of kinematics. Ultimately, accurate calculations depend on correctly applying these principles to determine the boat's deceleration and subsequent coast.
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Homework Statement


A power boat of mass 475 kg is cruising at a constant speed of 8.9 m/s. The propeller provides a drive force of 765 N. The driver of the boat shuts off the engine, and the boat coasts to a halt. Assume-contrary to fact-that the resistive force due to the water is constant, independent of the boat's speed.

Homework Equations


F=ma
a=velocity/time
v=d/t

The Attempt at a Solution


I divided Force by mass to get acceleration since F=ma.
Then using the acceleration formula a=d/t i calculated time.
Using that time i calculated distance useing the velocity formula v=d/t.
I got 49.183 meters and 5.526 seconds.
I got this answer wrong.
 
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Your formula for acceleration is not correct. Look up the "kinematics equations" to get the time and the distance. You'll need to think about the boat's final velocity to use one of the kinematics equations.
 
but i can't figure out how to calculate acceleration because i need distance and time.
 
you already said how to find acceleration! F = ma!
 
thank you very much!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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