1. **Stating the problem:** A car starts from rest and accelerates uniformly at 3 m/s² for 8 seconds. We need to find: a. The final velocity $v_f$ b. The displacement $x$ 2. **Formulas used:** - Final velocity as a function of time: $$v_f = v_i + at$$ - Displacement as a function of time: $$x = v_i t + \frac{1}{2} a t^2$$ 3. **Given values:** - Initial velocity $v_i = 0$ m/s (starts from rest) - Acceleration $a = 3$ m/s² - Time $t = 8$ s 4. **Calculate final velocity:** $$v_f = 0 + 3 \times 8 = 24 \text{ m/s}$$ 5. **Calculate displacement:** $$x = 0 \times 8 + \frac{1}{2} \times 3 \times 8^2$$ $$x = \frac{1}{2} \times 3 \times 64 = \frac{3}{2} \times 64 = 1.5 \times 64 = 96 \text{ m}$$ 6. **Final answers:** a. Final velocity $v_f = 24$ m/s b. Displacement $x = 96$ m