How long does it take a bullet to accelerate from rest to aspeed of 343 m/s if the blast from the gun can acceleratethe bullet at a rate of 1.25 × 105 m/s2?
Question
How long does it take a bullet to accelerate from rest to a speed of 343 m/s if the blast from the gun can accelerate the bullet at a rate of 1.25 × 10^5 m/s²?
Solution
To solve this problem, we can use the formula for acceleration, which is:
Acceleration = Change in Velocity / Time
We need to solve for Time, so we rearrange the formula to:
Time = Change in Velocity / Acceleration
The change in velocity is the final speed of the bullet minus its initial speed. Since the bullet starts from rest, its initial speed is 0 m/s. So, the change in velocity is 343 m/s.
The acceleration is given as 1.25 × 10^5 m/s^2.
Substituting these values into the formula gives:
Time = 343 m/s / 1.25 × 10^5 m/s^2 = 0.002744 seconds
So, it takes approximately 0.002744 seconds for the bullet to accelerate from rest to a speed of 343 m/s.
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