Question

While driving south on hwy 400, Jim gets stuck travelling at 1.9 m/s behind a slow truck. He finally gets into a passing lane, hits the gas and speeds up with a constant acceleration of 0.060 m/s2. What is his velocity (m/s) after accelerating for 8.5 km?

Answer 1

Final velocity

$vf\approx\text{ 31.99 m/s}$

Data & Formula:

. final velocity: vf = ?

. initial velocity : vi = 1.9 m/s

. acceleration : a = 0.060m/s^2

. distance : d = 8.5 km

$vf\text{ = }\sqrt[]{vi^2+2ad}$

$vf\text{ = }\sqrt[]{1.9^2\text{ + 2 }\cdot\text{ 0.060 }\cdot\text{ 8.5}}$