Tracking a Particle's Motion Along x-Axis

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The particle's motion is described by the equation x = 1.92 + 3.09t − 1.00t². At t = 3.4 seconds, the position of the particle is calculated to be 0.866 meters. To find the velocity at this time, the derivative of the position equation is needed, but the individual is struggling with this concept due to a mismatch in their physics and calculus coursework. Acceleration can also be derived from the velocity equation once it is established. The discussion emphasizes the importance of understanding derivatives for solving motion problems in physics.
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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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