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A rifle is aimed horizontally at a target 68.04 meters away. The bullet hits the target 1.69 cm below the aim point.

What was the bullet's flight time?

Answer :

The bullet's flight time is approximately 0.0587 seconds. This means it takes about 0.0587 seconds for the bullet to travel the horizontal distance of 68.04 meters and drop 1.69 cm vertically due to gravity.

- Horizontal distance to the target: 68.04 meters

- Vertical displacement (bullet hits 1.69 cm below the aim point): 0.0169 meters

- Acceleration due to gravity: 9.81 m/s²

1. Use the formula for vertical displacement under constant acceleration:

Vertical displacement y = 1/2} g t²

2. Rearrange the formula to solve for t :

t = √2y/g

3. Substitute the given values:

y = 0.0169 meters

g = 9.81 m/s²

4. Calculate the numerator 2y :

2 × 0.0169 = 0.0338

5. Divide by g:

0.0338/9.81 = 0.00345

6. Take the square root to find t:

t =√0.00345

7. Calculate t:

t = 0.0587 seconds

Therefore, the bullet's flight time is approximately 0.0587 seconds. This means it takes about 0.0587 seconds for the bullet to travel the horizontal distance of 68.04 meters and drop 1.69 cm vertically due to gravity.

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Rewritten by : Jeany

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