Where Will the Falling Suitcase Land? - Projectile Motion Homework Question

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SUMMARY

The discussion centers on a projectile motion problem involving a suitcase dropped from an airplane flying at 90.0 m/s at an angle of 23.0 degrees. The participant calculated the time of flight to be 4.845 seconds and determined the horizontal distance traveled to be 436.05 meters, later adjusting this to 450.9 meters using the Pythagorean Theorem. The correct approach involves using the vertical component of the velocity and the gravitational acceleration to find the time of flight and subsequently the range using the horizontal component of the velocity.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of trigonometric functions in physics
  • Basic grasp of gravitational acceleration (g = 9.81 m/s²)
NEXT STEPS
  • Study the derivation of the projectile motion equations
  • Learn how to apply trigonometric functions to resolve velocity components
  • Explore the effects of air resistance on projectile motion
  • Practice similar problems involving different angles and initial velocities
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Students studying physics, educators teaching projectile motion, and anyone looking to enhance their problem-solving skills in kinematics.

alex2256
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Homework Statement


OK, I'm posting to clarify if my answer is correct.

1. An airplane is flying with a velocity of 90.0 m/s at an angle of 23.0m\s above the horizontal. When the plane is a distance 115 m directly above an observer that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the observer will the suitcase land? You can ignore air resistance.

Homework Equations


y = ut + 1/2at^2
x = ut

The Attempt at a Solution


OK, I divided the x and y components into a table, then solved for time and got 4.845 seconds. I then plugged it into x = ut and got 436.05m, then constructed a triangle and did the Pythagorean Theorem and got 450.9m

Could someone please check this for me, since I don't have the answers to the question?

Thanks.
 
Physics news on Phys.org
To find time of flight t, use
y = - u*sinθ*t + 1/2*g*t^2.
- u*sinθ is the vertical component of the velocity of projection.
Then the range = u*cosθ*t
 

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