### Home > AC > Chapter 16 > Lesson 16.9.1.1 > Problem9-10

9-10.

A car which runs very slowly in the morning travels at a speed of $2t$ ft/s in the first $t$ seconds after it starts for $0 ≤ t ≤ 50$.

1. Draw the velocity versus time graph.

2. Use your graph to find the distance the car travels in the first $t$ seconds after it starts.

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

Distance is the area under a velocity curve.

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

$\text{distance}=\frac{(t)(2t)}{2} = \frac{2t^{2}}{2} = t^2$