# A car accelerates at 3 m/s^2 for 10 seconds. If it started with a velocity of 20 m/s, what is its final velocity?

May 2, 2016

${v}_{f} = 50 \frac{m}{s}$

#### Explanation:

${v}_{f} = {v}_{i} + a \cdot t$

${v}_{i} : \text{initial velocity}$
$a : \text{acceleration}$
$t : \text{time}$
${v}_{f} : \text{final velocity}$

${v}_{i} = 20 \frac{m}{2}$

$a = 3 \frac{m}{s} ^ 2$

$t = 10 s$

${v}_{f} = 20 + 3 \cdot 10$

${v}_{f} = 20 + 30$

${v}_{f} = 50 \frac{m}{s}$