Question 1: Calculate the definite integral of $f(x) = x^2$ from $x=0$ to $x=1$.
This is written as:
$$ \int_{0}^{1} x^{2} \, dx $$
1) $\frac{1}{3}$
2) $\frac{1}{2}$
3) $1$
4) $0$
Hint: The power rule for integration is $\int x^n \, dx = \frac{x^{n+1}}{n+1} + C$.
Applying it to $x^2$, the integral is $\frac{x^3}{3}$. Evaluate this from $0$ to $1$.
Question 2: What is the force ($F$) acting on an object with mass $m=5\text{ kg}$ and acceleration $a=2\text{ m/s}^2$?
1) $7\text{ N}$
2) $10\text{ N}$
3) $3\text{ N}$
4) $2.5\text{ N}$
Hint: Use Newton's second law of motion: $F = m \times a$. Ensure units are consistent.