A car starts from rest and moves with a constant acceleration of $a=2{\text{ m/s}}^2$. What is the velocity of the car after $t=5\text{ s}$?

Solution

1. Identify the given values: initial velocity $u=0\text{ m/s}$, acceleration $a=2{\text{ m/s}}^2$, and time $t=5\text{ s}$.
2. Use the first equation of motion: $v=u+at$.
3. Substitute the given values into the equation: $v=0+(2{\text{ m/s}}^2)(5\text{ s})$.
4. Calculate the result: $v=10\text{ m/s}$.
5. Hence the answer is (B).