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A rifle is aimed horizontally at a target 51 meters away. The bullet hits the target 2.4 centimeters below the aim point. What was the bullet's flight time? Neglect air resistance.

Answer :

Final answer:

The bullet's flight time is approximately 0.31 seconds.

Explanation:

To calculate the bullet's flight time, we need to determine the vertical motion of the bullet. Since the bullet hits the target 2.4 cm below the aim point, we can use the equation for vertical displacement:

d = v0yt + (1/2)at2

Where d is the vertical displacement, v0y is the initial vertical velocity, t is the flight time, and a is the acceleration due to gravity. Plugging in the given values, we have:

0.024 m = (0) * t + (1/2)(9.8 m/s2)t2

Simplifying the equation and solving for t, we get:

t2 = (2 * 0.024 m) / (9.8 m/s2)

t = √(0.048 / 9.8) s

t ≈ 0.31 s

Therefore, the bullet's flight time is approximately 0.31 seconds.

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