How Do You Solve a Cargo Plane's 2D Kinematics Problem?

In summary, the crate falls from a cargo plane flying at 850 km/h at an altitude of 10.9 km. To determine the time it takes to hit the ground, you can use the 2D kinematics equation x=1/2(v0+vf)t after finding the time to fall using a different formula with d, a, and t. Additionally, to find the horizontal distance the crate travels, you can use the formula x=v0t+1/2at^2, and to find the distance from the aircraft, you can use the formula x=v0t.
  • #1
creativeone
6
0
A cargo plane is flying horizontally at an altitude of 10.9 km with a speed of 850 km/h when a large crate falls out of the rear loading ramp. (Ignore any effects due to air resistance.)
(a) How long does it take the crate to hit the ground?
(b)How far horizontally is the crate from the point where it fell off when it hits the ground?
(c) How far is the crate from the aircraft when the crate hits the ground, assuming that the plane continues to fly with the same velocity?


Known 2D kinematics equations used
I tried solving for time using x=1/2(v0+vf)t, with initial velocities of 236.1 m/s (converted), however, that left me with the incorrect answer of 46.17s.

Please help!
 
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  • #2
That formula requires that you know the time to fall.
Try to find that first. Look at your list of formulas that apply to the vertical part of the motion, which is accelerated motion. You know the acceleration and the distance of the fall. Got a formula with d, a, and t in it?
 

FAQ: How Do You Solve a Cargo Plane's 2D Kinematics Problem?

1. What is a cargo plane and how does it differ from a regular plane?

A cargo plane is a type of aircraft specifically designed to transport goods and materials. It differs from a regular plane in terms of its design and capabilities. Cargo planes have larger bodies and wingspans to accommodate heavier loads, as well as specialized loading systems to efficiently load and unload cargo.

2. How do cargo planes use 2D kinematics to navigate and travel?

2D kinematics is the study of motion in two dimensions, which is essential for the navigation and travel of cargo planes. These planes use 2D kinematics to determine their position, speed, and acceleration in the x and y directions, allowing them to navigate through the air and reach their destination.

3. What factors affect the 2D kinematics of a cargo plane?

There are several factors that can affect the 2D kinematics of a cargo plane, including air resistance, wind speed and direction, and the weight and distribution of the cargo on board. These factors can impact the plane's speed, acceleration, and trajectory, which must be carefully considered by pilots to ensure safe and efficient flight.

4. How do cargo planes use 2D kinematics to optimize their flight paths?

Cargo planes use 2D kinematics to optimize their flight paths by calculating the most efficient route to their destination. This involves considering factors such as wind patterns, air traffic, and fuel consumption. By using 2D kinematics, pilots can adjust their speed and direction to minimize travel time and save on fuel costs.

5. What are the potential limitations of using 2D kinematics for cargo planes?

While 2D kinematics is a crucial tool for cargo planes, it does have some limitations. For instance, it does not take into account the vertical motion of the plane, which can be affected by factors such as turbulence and air density. Additionally, 2D kinematics assumes that the motion of the plane is constant, which may not always be the case in real-world scenarios.

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