Use the Impulse-Momentum Theorem

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To determine the time it takes for a stone to increase its speed from 4.8 m/s to 10.7 m/s using the impulse-momentum theorem, one must consider the acceleration due to gravity. The impulse-momentum theorem relates the change in momentum to the impulse applied, which can be expressed as force multiplied by time. Since the force acting on the stone is gravity, represented as mg, the acceleration can be calculated even without knowing the time interval initially. By rearranging the equation, time can be solved for using the known values of initial and final velocities along with the acceleration. Understanding these relationships is crucial for solving the problem effectively.
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Homework Statement


Use the impulse-momentum theorem to find how long a stone falling straight down takes to increase its speed from 4.8 m/s to 10.7 m/s.

I really don't get the question. How could we find the time in second if we only know the initial and final velocity.

Homework Equations





The Attempt at a Solution

 
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Raimuna said:
I really don't get the question. How could we find the time in second if we only know the initial and final velocity.
I am going to consider this an attempt at a solution, and offer a hint: You also know the acceleration.

Also, the impulse-momentum theorem is definitely a relevant equation here.
 
How do we find the acceleration if we don't know the time interval?
 
Force*time=m(Vf-Vi) solve for time. Force is obviously gravity=mg
 

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