Tracking a Particle's Motion Along x-Axis

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The discussion focuses on the motion of a particle along the x-axis described by the equation x = 1.92 + 3.09t − 1.00t². The position of the particle at t=3.4 seconds is calculated to be 0.866 meters. To find the velocity at this time, participants emphasize the necessity of using calculus to derive the equation, specifically by taking the derivative. The acceleration can also be determined using the second derivative of the position function.

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A particle moves along the x-axis according to the equation:

x = 1.92 + 3.09t − 1.00t2,
Where x is in meters and t is in seconds?


a) find the position of the particle at t=3.4s
-I get this part. (0.866m)

b) find its velocity at t=3.4s
-this is where I am having trouble. I know I need to use calculus to take the derivative, but my physics class is actually ahead of my cal 1 class so I'm struggling a bit trying to conceptualize how to plug this into the derivative definition.

c) find its acceleration at t=3.4s

I know its a basic problem, and you guys probably see this a lot, but I appreciate your feedback.
 
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Go look up how to do derivatives in your calculus textbook or ask your professor.
 

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