1. **Problem statement:** A car starts from rest and accelerates uniformly at 3 m/s² for 8 seconds. We need to find: a. Final velocity b. Displacement 2. **Relevant formulas:** - Final velocity after uniform acceleration: $$v = u + at$$ - Displacement after uniform acceleration: $$s = ut + \frac{1}{2}at^2$$ Here, $u$ is the initial velocity, $a$ is acceleration, $t$ is time, $v$ is final velocity, and $s$ is displacement. 3. **Given values:** - Initial velocity, $u = 0$ m/s (starts from rest) - Acceleration, $a = 3$ m/s² - Time, $t = 8$ s 4. **Calculate final velocity:** $$v = u + at = 0 + 3 \times 8 = 24 \text{ m/s}$$ 5. **Calculate displacement:** $$s = ut + \frac{1}{2}at^2 = 0 \times 8 + \frac{1}{2} \times 3 \times 8^2$$ $$s = \frac{1}{2} \times 3 \times 64 = \frac{3}{2} \times 64 = 1.5 \times 64 = 96 \text{ m}$$ **Final answers:** - a. Final velocity = 24 m/s - b. Displacement = 96 m