Step 1 :1. Set up the equations: \( (v1 + 2) * 24 = 400 \), \( (v2 - 2) * 24 = 400 \), and \( v1 * t1 = v2 * t2 \)
Step 2 :2. Solve the equations to find the value of v1: \( v1 = \frac{44}{3} \) m/s
Step 3 :3. Final Answer: \( \boxed{v1 = \frac{44}{3} \text{ m/s}} \)