At time t, in seconds, your velocity v, in meters/sec, is given by $v(t)=9+4 t^{2}$ for $0 \leq t \leq 6$ .Which is more accurate?
A)An estimate of the distance traveled during this time using $\Delta$t = 1.
B)An estimate of the distance traveled during this time using F$\Delta$t = 2.

Question

Quizplus · Accepted Answer

The distance traveled can be more accurately estimated using a smaller time interval ($\Delta t$). In this case, $\Delta t = 1$ second (option A) will provide a more accurate estimate than $\Delta t = 2$ seconds (option B) because it uses more intervals to approximate the area under the velocity-time curve, leading to a closer approximation of the actual distance traveled.

At Time T, in Seconds, Your Velocity V, in Meters/sec v(t)=9+4t2v(t)=9+4 t^{2}v(t)=9+4t2

At Time T, in Seconds, Your Velocity V, in Meters/sec $v(t)=9+4 t^{2}$