What is the Final Velocity After Deceleration?

AI Thread Summary
To find the final velocity of a 9.30 kg body decelerating uniformly from an initial speed of 9.30 m/s over 9.30 seconds, the appropriate kinematic equation is d = 1/2(vf + vi)t. Given that the body travels 9.30 m during this time, the equation can be rearranged to solve for the final velocity (vf). It is important to note that speed is the magnitude of velocity, and the average speed is not the same as instantaneous speed. The discussion emphasizes the need to apply the correct kinematic equation to determine the final speed accurately. Understanding these concepts is crucial for solving similar physics problems.
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Homework Statement


An 9.30 kg body moving at 9.30 m/s begins to decelerates uniformly. After 9.30 s the body is 9.30 m from the location were it started to decelerate.
What is the final speed of the body 9.30 s after it started to decelerate?


Homework Equations


I'm not sure what equation to use.


The Attempt at a Solution


I'm not sure how to tackle this problem to find final velocity when I only have initial velocity, time, and distance. Help please!
 
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You can use a couple of the kinematic equations, but there is a single simple kinematic equation for constant acceleration that relates initial velocity, final velocity, displacement, and time. Which one is that?
 
Would that be the d=1/2(vf+vi)t ?
I wasn't given that equation on my handout but I looked it up.
 
Speed is the magnitude of the velocity. Yes, that is the right equation; solve it for V_f; the magnitude of V_f is its speed. Speed is not distance divided by time. Distance divided by time is average speed. You are looking for the instantaneous speed.
 
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