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¿Cuál es la posición de un objeto que empieza en x0​=20 m y se mueve con una velocidad constante de 3 m/s durante 5 segundos?a.20 m.b.50 m.c.15 m.d.5 m.e.35 m.

Question

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Solution

1. Break Down the Problem

To find the final position of an object moving with a constant speed, we can use the formula for position: x=x0+vt x = x_0 + vt where:

  • xx is the final position,
  • x0x_0 is the initial position,
  • vv is the velocity,
  • tt is the time.

2. Relevant Concepts

  • Initial position (x0x_0) = 20 m
  • Velocity (vv) = 3 m/s
  • Time (tt) = 5 s

3. Analysis and Detail

Substituting the known values into the position formula: x=20m+(3m/s×5s) x = 20 \, \text{m} + (3 \, \text{m/s} \times 5 \, \text{s}) Calculating the product: x=20m+15m x = 20 \, \text{m} + 15 \, \text{m} Now, performing the addition: x=35m x = 35 \, \text{m}

4. Verify and Summarize

The calculation has been performed step by step:

  • Initial position is 2020 m.
  • The object moved 1515 m in 55 seconds at 33 m/s.
  • The final position is indeed 3535 m.

Final Answer

The final position of the object is 35 m (opción e).

This problem has been solved

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