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

AI Thread Summary
The discussion focuses on a projectile motion homework problem involving a suitcase dropped from an airplane flying at 90.0 m/s at a 23.0-degree angle. The student calculated the time of flight as 4.845 seconds and found the horizontal distance to be 436.05 meters, later verifying the total distance using the Pythagorean theorem as 450.9 meters. Another participant suggested using the vertical component of the velocity and the equation for range to confirm the calculations. The conversation emphasizes the importance of correctly separating the x and y components of motion. The student seeks validation for their solution, indicating a need for peer review in physics problem-solving.
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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