Questions 1 to 7 from RACE #17 Physics

\boxed{\text{1. } \int 3x^7 dx = \frac{3}{8} x^8 + C \quad \text{and similarly for others} \newline \text{2. Distance} = 39 \text{ m} \newline \text{3. } t = 2 \text{ s} \newline \text{4. Particle stops at } t=1 \text{ s and continues without reversing} \newline \text{5. } \frac{(\sqrt{3}+1)}{4} T \newline \text{6. } s = ut + \frac{kt^3}{6} \newline \text{7. } x = \frac{m V_0}{r} }