Tracking a Particle's Motion Along x-Axis

[jnunes5707]

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.

 

[jncarter]

Go look up how to do derivatives in your calculus textbook or ask your professor.