1. **State the problem:** A rocket-powered sled accelerates from rest to a speed of 444 m/s in 1.83 seconds. We need to find the distance traveled during this acceleration. 2. **Identify known values:** - Initial velocity, $v_0 = 0$ m/s (starting from rest) - Final velocity, $v = 444$ m/s - Time, $t = 1.83$ s 3. **Calculate acceleration using the formula:** $$a = \frac{v - v_0}{t} = \frac{444 - 0}{1.83} = 242.62\ \text{m/s}^2$$ 4. **Calculate distance traveled using the formula for uniformly accelerated motion:** $$s = v_0 t + \frac{1}{2} a t^2 = 0 \times 1.83 + \frac{1}{2} (242.62)(1.83)^2$$ 5. **Simplify:** $$s = \frac{1}{2} (242.62)(3.3489) = 121.31 \times 3.3489 = 405.88 \ \text{meters}$$ 6. **Final answer:** The sled travels approximately **406 meters** during the acceleration.