Projectile motion of a flying plane

In summary, an airplane is flying at a velocity of 90.0 m/s at a 23 degree angle with the horizontal. When the plane is 114 m above a dog on level ground, a suitcase drops from the luggage compartment. The initial velocity of the suitcase will be the same as the plane's and the time it takes to drop 114 m can be found using the equation 114 = 35.2t + 0.5(-9.8)t^2. The origin is at the point where the suitcase was dropped with positive directions being up and ahead of the plane's motion. The vertical coordinate of the dog should be negative.
  • #1
ripper9100
7
0

Homework Statement


An airplane is flying with a velocity of 90.0m/s at an angle of 23 degrees w/ the horizontal. When the plane is 114 m directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment . How far from the dog will the suitcase land? You can ignore air resistance.


The Attempt at a Solution


The initial vertical speed of the plane is 35.2 m/s and the initial horizontal speed of the plane is 82.8 m/s. But I am confused is the initial velocity of the suitcase going to be the same as the plane's or 0.
 
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  • #2
The initial velocity of the suitcase will be the same as that of the plane. Since it was dropped, not thrown.
 
  • #3
thats what i thought but then i get stuck when i try to find the time it takes th suitcase to drop the 114 meters.

114 = 35.2t+.5(-9.8)t^2 is this the right equation?
 
  • #4
The signs in your equation may be right, or maybe not.
Which is the positive direction?
Where is y=0?
On third re-reading... I don't see at all how you made your signs agree. You need one of your positives to be a negative.
 
Last edited:
  • #5
As mbrmbrg points out, looking at the RHS I would say you put your origin at the point where the suitcase was dropped with postive directions up and ahead of the planes motion. In this case the vertical coordinate of the dog should be negative, right?
 

FAQ: Projectile motion of a flying plane

How does the angle of launch affect the projectile motion of a flying plane?

The angle of launch, also known as the angle of elevation, determines the initial direction of the plane's motion. A higher angle of launch will result in a steeper trajectory and a shorter horizontal distance traveled, while a lower angle of launch will result in a flatter trajectory and a longer horizontal distance traveled.

What factors affect the maximum height reached by a flying plane?

The maximum height reached by a flying plane is affected by several factors, including the angle of launch, the initial velocity, and the force of gravity. The steeper the angle of launch and the higher the initial velocity, the higher the maximum height will be. However, the force of gravity will always act to pull the plane back down to the ground, so the maximum height will also depend on the strength of gravity in that specific location.

How does air resistance impact the projectile motion of a flying plane?

Air resistance, also known as drag, can have a significant impact on the projectile motion of a flying plane. As the plane moves through the air, it will experience a force in the opposite direction of its motion due to air resistance. This force will decrease the plane's speed and affect its trajectory, causing it to travel a shorter horizontal distance and reach a lower maximum height.

Can a flying plane experience multiple stages of projectile motion?

Yes, a flying plane can experience multiple stages of projectile motion if it is launched at an angle or if it experiences a change in velocity during its flight. For example, a plane taking off from a runway will experience a horizontal projectile motion as it gains speed, and then a vertical projectile motion as it takes off into the air.

How does the weight of a flying plane affect its projectile motion?

The weight of a flying plane does not have a significant impact on its projectile motion. The force of gravity acts on all objects equally, regardless of their weight. However, a heavier plane may require more force to achieve the same initial velocity, which could affect its trajectory and maximum height.

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