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An Air Force pilot is flying horizontally at a speed of 3000 m/s and drops a bomb which hits the target 10 seconds later. At what height was the pilot flying?

Answer :

The pilot was flying at a height of 490 meters.

To determine the height at which the pilot was flying, we can use the equation of motion for vertical motion. The formula is given by:

h = ut + (1/2)gt²

Where h is the height, u is the initial vertical velocity, g is the acceleration due to gravity, and t is the time.

The initial vertical velocity is 0 m/s since the pilot is flying horizontally.

The acceleration due to gravity is 9.8 m/s²

The time is 10 seconds since the bomb hits the target after 10 seconds.

Plugging the values into the formula, we get:

h = 0 + (1/2) * 9.8 * (10)²

h = 0 + 4.9 * 100

h = 490 meters

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