Angular velocity from θ = 4t − 3t² + t³ at t=1 and t=5.5

[ViewtifulBeau]

The angular position of a point on the rim of a rotating wheel is given by theta = 4* t - 3* t^2 + t^3, where theta is in radians if t is given in seconds.

find the angular velocities as t = 1 and t = 5.5

i plugged the numbers into the given equation to get 2 and 97.625
then i divided by the time to get 2 and 17.75 but both of these are wrong. what am i forgetting?

 

[whozum]

You are given a position equation, and you want to find the velocities at certain points in time.. do you know the relationship between position equations and velocity equations? Think calculus

 

[ViewtifulBeau]

ahh derivative thanks