Question

initial velocity of a train is 35m/s and acceleration produced is 2m/s(square) in 6seconds. what is its final velocity?

Answer 1

Initial velocity of a train is $35\mathrm{m/s}$ and acceleration produced is $2\mathrm{m/s}$ (square) in 6 seconds. What is its final velocity?

**Solution.**

$$v_i = 35 \frac{m}{s}, \quad a = 2 \frac{m}{s^2}, \quad t = 6s;$$ $$v_f - ?$$

The final velocity of the train moving with acceleration:

$$v_f = v_i + at;$$

$v_f$ - the final velocity of the train;

$v_i$ - the initial velocity of the train;

$a$ - the acceleration of the train.

$$v_f = 35 \frac{m}{s} + 2 \frac{m}{s^2} \cdot 6s = 47 \frac{m}{s}.$$

**Answer:** The final velocity of the train is $47\frac{m}{s}$.