# At what angle should the bomb be released?

• Alpha123
In summary, the problem involves finding the angle at which a bomb should be released from a plane flying at 200 km/h to hit a car traveling at 130 km/h which is 78.0m away from the plane. Using the given equations and assuming that the plane and car are moving in the same direction, the angle is found to be 45 degrees. However, if the directions of motion are different, the answer may vary.
Alpha123

## Homework Statement

There is a plane flying at 200 km/h and wants to drop a bomb on a car traveling 130 km/h which is 78.0m below the plane. at what angle should the bomb be released? the answer is 45 degrees.

## Homework Equations

sine law: SinA/a= SinB/b
cosine law: a^2=b^2+c^2+bcCosA
v=d/t
sine,cosine and tan trig ratios

## The Attempt at a Solution

converted 78.0m to 0.078 km.
I have drawn out the vectors but have not been able to add them. Any help would be appreciated.

Alpha123 said:

## Homework Statement

There is a plane flying at 200 km/h and wants to drop a bomb on a car traveling 130 km/h which is 78.0m below the plane. at what angle should the bomb be released? the answer is 45 degrees.

## Homework Equations

sine law: SinA/a= SinB/b
cosine law: a^2=b^2+c^2+bcCosA
v=d/t
sine,cosine and tan trig ratios

## The Attempt at a Solution

converted 78.0m to 0.078 km.
I have drawn out the vectors but have not been able to add them. Any help would be appreciated.
It seems to me that there is not sufficient information to answer this.

Have you stated the entire problem?

Is there a figure to go with this?

SammyS said:
This looks like a projectile motion problem to me.
SammyS said:
This looks like a projectile motion problem to me.
i subtracted the velocities to get 70km/h which converts to 19.44m/s
then i plugged it into equation equation d=v1t + 1/2 at^2
78.0m = 1/2(9.8 m/s/)t^2
t= 3.99s

then with the t i found the distance between the plane and car that the bomb travels.
d=vt
=(19.44m/s)(3.99s)
=77.57m

then i found the angle tanx= 78/77.57
x=45 degrees
is this correct?

Do you know the relative positions of the plane and the car, as well as the relative directions of motion?

i subtracted the velocities to get 70km/h which converts to 19.44m/s
then i plugged it into equation equation d=v1t + 1/2 at^2
78.0m = 1/2(9.8 m/s/)t^2
t= 3.99s

then with the t i found the distance between the plane and car that the bomb travels.
d=vt
=(19.44m/s)(3.99s)
=77.57m

then i found the angle tanx= 78/77.57
x=45 degrees
is this correct?

However I do think the problem statement is badly worded - for example it says the car is "below" the aircraft which isn't the case. The answer also assumes the aircraft and car are going in the same direction. If they are going in opposite directions you get a different answer.

## 1. What factors should be considered when determining the angle at which a bomb should be released?

The main factors that should be considered are the distance to the target, the type of bomb being used, and the environmental conditions such as wind speed and direction.

## 2. How does the distance to the target affect the angle at which a bomb should be released?

The distance to the target is a crucial factor in determining the angle of release as it directly affects the trajectory of the bomb. The farther the target, the higher the angle of release should be in order to hit it accurately.

## 3. Is there a standard angle for releasing bombs?

No, there is no standard angle for releasing bombs. The angle of release varies depending on the specific circumstances of the mission and the type of bomb being used. It is determined through careful calculations and adjustments.

## 4. What role does wind play in determining the angle of release for a bomb?

Wind speed and direction can greatly affect the trajectory of a bomb. The angle of release must be adjusted accordingly to compensate for wind in order to ensure accurate targeting.

## 5. Can technology assist in determining the angle of release for bombs?

Yes, technology such as computer programs and advanced targeting systems can aid in calculating the optimal angle of release for a bomb based on various factors such as distance, type of bomb, and environmental conditions. However, these calculations should still be verified by human experts before releasing the bomb.

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