1. Velocity

The function s(t) =2t^3 +6t^2, describes the distance traveled in miles by a test racing car at time, in hours. find the speed (known as velocity r instantaneous rate of change) of the car at exactly 3 hours.

2. Originally Posted by Hallah_az
The function s(t) =2t^3 +6t^2, describes the distance traveled in miles by a test racing car at time, in hours. find the speed (known as velocity r instantaneous rate of change) of the car at exactly 3 hours.
Since,
$\displaystyle v(t)=\frac{ds}{dt}$
We have,
$\displaystyle v(t)=6t^2+12t$
Thus,
$\displaystyle v(3)=6(3)^2+12(3)=54+36=100\frac{ \mbox{miles}}{ \mbox {hour}}$

Thank you!!b