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An Airplane moving at 150 m/s at a height of 80 m. It is used to drop a bomb on a specific target. What distance should the bomb be dropped from the target?a.300 mb.230mc.80md.600m

Question

An Airplane moving at 150 m/s at a height of 80 m. It is used to drop a bomb on a specific target. What distance should the bomb be dropped from the target?a.300 mb.230mc.80md.600m

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Solution

The horizontal distance covered by the bomb before it hits the target is given by the formula:

d = vt

where: d is the distance, v is the horizontal velocity of the airplane, t is the time it takes for the bomb to hit the ground.

The time it takes for the bomb to hit the ground can be calculated using the formula for free fall:

h = 0.5gt^2

where: h is the height from which the bomb is dropped, g is the acceleration due to gravity (approximately 9.8 m/s^2).

Rearranging the free fall formula for t gives:

t = sqrt(2h / g)

Substituting the given values gives:

t = sqrt(2*80 / 9.8) = 4.04 seconds

Substituting this value for t into the formula for d gives:

d = 150 * 4.04 = 606 meters

So, the bomb should be dropped approximately 606 meters from the target. Therefore, the closest answer is d. 600m.

This problem has been solved

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