CPM Homework Help : PC Problem 9-157

Sketch the velocity function given by v(t) = 6t for 0 ≤ t ≤ 5. Homework Help ✎
1. Find the area under the curve from t = 0 to any value of t.
2. What does this area represent?

Hint (a):

$\text{Area} = \frac{(\text{base})(\text{height})}{2}$

Answer (a):

$\text{Area} = \frac{(t)(f(t))}{2}$

$\text{Area} = \frac{(t)(6t)}{2}$

Area = 3t²

Answer (b):

It represents distance traveled.