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Homework Statement
A car's velocity as a function of time is given by Vx (t) = alpha + beta (t)^2, where alpha = 3.00m/s and beta = .100m/s^3.
Calculate the instantaneous acceleration for t= 5seconds
Homework Equations
ax = dv/dt
The Attempt at a Solution
My first attempt is to get various times and get their corresponding acceleration.
vx @ 0s = 3m/s
vx @ 1s = 3.1m/s
vx @ .5s = 3.025 m/s
vx@ 5s = 5.5
I know compared a= 3.1-3/1-0 = .1
3.035-3/.5-0 = .05
the average would end up being around .1
I know this problems involved more calculus math, derivitives etc.
How do I apply this here.