# Moving with an initial speed of 54 km / h, the car covered 155m in 10 seconds.

September 28, 2021 | education

| **Moving with an initial speed of 54 km / h, the car covered 155m in 10 seconds. What speed did he acquire at the end of the journey?**

Data: V0 (initial vehicle speed) = 54 km / h (15 m / s); t (duration of movement) = 10 s; S (distance traveled) = 155 m.

The speed that the car acquired at the end of the path is determined from the formulas: S = V0 * t + 0.5 * a * t2 and V = V0 + a * t (a * t = V – V0), whence S = V0 * t + 0.5 * (V – V0) * t = V0 * t + 0.5 * V * t – 0.5 * V0 * t = 0.5 * V0 * t + 0.5 * V * t and V = 2S / t – V0.

Calculation: V = 2 * 155/10 – 15 = 31 – 15 = 16 m / s.

Answer: At the end of the journey, the car acquired a speed of 16 m / s.

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