Time of Bomb Dropped from 2000m: Calculation

In summary, the length of time the bomb was in the air can be calculated using the equation delta y = vi * delta t + 1/2 * a * delta y * t^2, where vi is the initial velocity in the vertical direction and delta y is the displacement. The vertical and horizontal components are independent, so the horizontal speed of the plane does not affect the time. Using the given values of vi = 0, d = 2000 m, and g = 9.8 m/s^2, the length of time the bomb was in the air is calculated to be approximately 2.7 seconds.
  • #1
hype_chicky
34
0
if a plane is flying at 720 km/h and drops a bomb when it is 2000 m high what is the length of time the bomb was in the air?

So Viinitial is 720 km/h and d is 2000 m , g is 9.8 and to solve for t would i use the formuladeltay = Videltat + 1/2adeltay t^2?
 
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  • #2
the vertical and horizontal component are independent, the result is not related to how fast the plane travel horizontally
 
  • #3
delta x = viX dellta t
2000 = 720 km/h (delta t)
delta t = 2000m/ 720 km/h. Therefore the length of time the bomb was in the air is 2.7 seconds?
 
  • #4
hype_chicky said:
So Viinitial is 720 km/h and d is 2000 m , g is 9.8 and to solve for t would i use the formuladeltay = Videltat + 1/2adeltay t^2?
This is the correct equation to use, but not the correct initial velocity. All you care about is the vertical motion (which, as vincentchan points out, has nothing to do with the horizontal speed of the plane), so what's the initial speed in the vertical direction?
 

1. How is the time of bomb dropped from 2000m calculated?

The time of bomb dropped from 2000m can be calculated using the equation t = √(2h/g), where t is the time, h is the height of the bomb, and g is the gravitational acceleration (9.8 m/s²).

2. What is the significance of calculating the time of bomb dropped from 2000m?

Calculating the time of bomb dropped from 2000m is important for understanding the trajectory and impact of the bomb. It can also help in predicting the potential damage caused by the bomb.

3. Can the calculation of the time of bomb dropped from 2000m be affected by external factors?

Yes, external factors such as air resistance and wind conditions can affect the accuracy of the calculation. However, these factors can be taken into account and adjusted for in the equation.

4. How does the height of the bomb affect the time of bomb dropped from 2000m?

The higher the bomb is dropped from, the longer it will take to reach the ground. This is because the bomb has a longer distance to travel, which increases the time it takes to fall.

5. Is the calculation of the time of bomb dropped from 2000m applicable to all types of bombs?

Yes, the equation for calculating the time of bomb dropped from 2000m is applicable to all objects falling under the influence of gravity, including bombs. However, the accuracy of the calculation may vary depending on the shape and size of the bomb.

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