Large accelerations are often measured in g where 1g=10m/s 2 .Part A3g for five minutesHow much speed can you gain at 3g in five minutes?
Question
Large accelerations are often measured in g where 1g = 10 m/s².
Part A: 3g for five minutes
How much speed can you gain at 3g in five minutes?
Solution
Sure, let's break this down:
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First, we need to convert the time from minutes to seconds because the acceleration is given in m/s^2. So, 5 minutes = 5 * 60 = 300 seconds.
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Next, we need to calculate the acceleration in m/s^2. Given that 1g = 10m/s^2, then 3g = 3 * 10 = 30m/s^2.
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Finally, we use the formula for acceleration which is final velocity = initial velocity + (acceleration * time). Assuming the initial velocity is 0 (starting from rest), the final velocity would be 0 + (30m/s^2 * 300s) = 9000m/s.
So, you can gain a speed of 9000m/s at 3g in five minutes.
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