1. **Problem Statement:** A car accelerates uniformly from 18 km/h to 36 km/h in 5 seconds. We need to find:
i) The acceleration
ii) The distance covered in that time
2. **Convert units:** Since acceleration and distance calculations require consistent units, convert speeds from km/h to m/s.
$$u = 18 \times \frac{1000}{3600} = 5 \text{ m/s}$$
$$v = 36 \times \frac{1000}{3600} = 10 \text{ m/s}$$
3. **Formula for acceleration:**
$$v = u + at$$
Rearranged to find acceleration:
$$a = \frac{v - u}{t}$$
4. **Calculate acceleration:**
$$a = \frac{10 - 5}{5} = \frac{5}{5} = 1 \text{ m/s}^2$$
5. **Formula for distance covered:**
$$s = ut + \frac{1}{2}at^2$$
6. **Calculate distance:**
$$s = 5 \times 5 + \frac{1}{2} \times 1 \times 5^2 = 25 + \frac{1}{2} \times 25 = 25 + 12.5 = 37.5 \text{ meters}$$
**Final answers:**
- Acceleration $a = 1$ m/s$^2$
- Distance covered $s = 37.5$ meters
Uniform Acceleration 629F21
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