Kinematics in 2d, plane drops an object

AI Thread Summary
The discussion centers on a physics problem involving kinematics in two dimensions, where an airplane releases a radar decoy while diving at an angle. The user calculates the horizontal and vertical components of the velocity, finding Vx and Vy based on the given speed and angle. They attempt to determine the time the decoy is in the air using the horizontal distance formula but receive feedback that their answer is incorrect. The error identified is related to unit consistency, as the airplane's speed is initially given in kilometers per hour instead of meters per second. The discussion highlights the importance of unit conversion in solving physics problems accurately.
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Homework Statement


A certain airplane has a speed of 267.2 km/h and is diving at an angle of θ = 28.0° below the horizontal when the pilot releases a radar decoy (Fig. 4-37). The horizontal distance between the release point and the point where the decoy strikes the ground is d = 777 m. (a) How long is the decoy in the air? (b) How high was the release point?


Homework Equations


d=Vi*t+1/2a(t^2)


The Attempt at a Solution


Okay, step one is to find the velocity in the x and y directions, here is my attempt:
Vy=sin(-28)*267.2= -125.4428016
Vx=cos(-28)*267.2= 235.9235968

So we have the following knowns:
V=267.2m/s
Vy=-125.4428016m/s
Vx=235.9235968m/s
Dx=777m
Ax=0
Ay=-9.8m/s^2
Dy=?
T=?

Okay, cool, plenty of information. Let's solve for T first so we can find Dy afterwards:
Dx=VxT + 1/2Ax(T^2)
777=(235.9235968)(T) + (1/2)0(T^2)
777=(235.9235968)(T) + 0
T=777/(235.9235968)
T=3.293439107

----STOP----
Now at this point, I went on to solve for Dy, but we're going to stop here for the following reason: when I submitted my answer for T to the wileyplus online system, it told me my answer was wrong. What did I do wrong? Everything seems to make sense. Please help!
 
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The speed of the airplane is given in km/hr. You should check for consistency in your units ;)
 
Ah jeez, totally overlooked that. Thanks for the help!
 
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