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Ten seconds after liftoff, a rocket reaches a speed of 60 m/s. Calculate its average acceleration during this time.

Question

Ten seconds after liftoff, a rocket reaches a speed of 60 m/s. Calculate its average acceleration during this time.

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Solution

Sure, let's calculate the average acceleration step by step.

  1. Identify the given values:

    • Initial velocity (viv_i): 0 m/s (since the rocket starts from rest)
    • Final velocity (vfv_f): 60 m/s
    • Time (tt): 10 seconds
  2. Use the formula for average acceleration: a=vfvit a = \frac{v_f - v_i}{t}

  3. Substitute the given values into the formula: a=60m/s0m/s10seconds a = \frac{60 \, \text{m/s} - 0 \, \text{m/s}}{10 \, \text{seconds}}

  4. Calculate the result: a=60m/s10seconds=6m/s2 a = \frac{60 \, \text{m/s}}{10 \, \text{seconds}} = 6 \, \text{m/s}^2

So, the average acceleration of the rocket during this time is 6m/s26 \, \text{m/s}^2.

This problem has been solved

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