Finding the Rate of Climb for a Plane

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SUMMARY

The discussion centers on calculating the rate of climb for a plane that takes off at a speed of 88 km/h and ascends while clearing a power line 15 meters high at a horizontal distance of 460 meters. The key to solving this problem is determining the angle of ascent, which allows for the calculation of the y-component of velocity. The user initially struggled with the acceleration formula but ultimately recognized that the rate of climb is equivalent to the vertical component of the plane's velocity during ascent.

PREREQUISITES
  • Understanding of basic kinematics, particularly velocity and acceleration.
  • Familiarity with trigonometric functions to calculate angles.
  • Knowledge of vector components, specifically how to resolve velocity into horizontal and vertical components.
  • Basic physics principles related to projectile motion and trajectories.
NEXT STEPS
  • Learn how to calculate the angle of ascent using trigonometric functions.
  • Study vector decomposition to understand how to resolve velocities into components.
  • Explore kinematic equations for motion in two dimensions.
  • Investigate real-world applications of rate of climb in aviation and aerodynamics.
USEFUL FOR

Aerospace engineers, physics students, and anyone interested in understanding the mechanics of flight and the calculations involved in determining a plane's rate of climb.

mr_glass
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I am having trouble with problem:

A plane needs 300 m to take off while going 88km/h. It then climbs with a constant speed of 88 km/h along a straight line, just celaring a power line 15m high at a horizontal distance of 460 m from it initial position.

I am asked to find the rate of climb of the plane.

I have figured out how to get the acceleration with

(Vf^2 - Vi^2)/2d a

but I do not know where to go from here.
 
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Note: I've moved this from Advanced Physics to Introductory Physics.

A plane needs 300 m to take off while going 88km/h. It then climbs with a constant speed of 88 km/h along a straight line, just celaring a power line 15m high at a horizontal distance of 460 m from it initial position.

I am asked to find the rate of climb of the plane.

The first thing that you need to recognize is that "rate of climb" means the same thing as "y-component of velocity while climbing". So the first thing you need to do is the angle that the plane's straight line trajectory makes with the horizontal. Since they give you the speed along that straight line tracjectory, finding the rate of climb should be easy after you get the angle.
 
thanx i figured it out waasn't thinking clearly much easier thn what i was making it
 

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