What is the height of the plane when the decoy was released?

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The problem involves a scenario where a radar decoy is released from an airplane diving at an angle. The objective is to determine the height of the plane at the moment of release, given the speed of the airplane and the horizontal distance traveled by the decoy before hitting the ground.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of the time it takes for the decoy to reach the ground and the height from which it was released. There is a focus on the initial vertical component of the velocity and its significance in the calculations.

Discussion Status

Some participants have pointed out potential errors in the original calculations, particularly regarding the initial vertical velocity component. There is an ongoing exploration of the implications of these factors on the height calculation.

Contextual Notes

Assumptions such as neglecting air resistance and the angle of descent are being considered, along with the need for accurate initial velocity components in the calculations.

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[SOLVED] projectile shot downward

A certain airplane has a speed of 255.0 km/h and is diving at an angle of 30.0° below the horizontal when a radar decoy is released (see Figure 4-36). The horizontal distance between the release point and the point where the decoy strikes the ground is 700 m. Neglect air resistance.

so Velocity in meters per second is 255*.2777=70.83m/s
Velocity in X direction is 70.83sin60=61.34m/s

Figure 4-36

(a) How high was the plane when the decoy was released?

t=m/v = 700/61.34 = 11.41s
Y=Yo+volt+.5(a)(t^2)
Y=(0)+(0)(t)-4.9(11.41^2)
Y=638.1m which is wrong, can anyone help me out
 
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B-80 said:
t=m/v = 700/61.34 = 11.41s
Y=Yo+volt+.5(a)(t^2)
Y=(0)+(0)(t)-4.9(11.41^2)
The y-component of the the initial velocity is not zero.
 
The initial vertical component of the velocity of the released item is not zero, due to the vis inertiae, since the aeroplane was traveling at two hundred and fifty-five kilometres per hour times the sine of thirty degrees vertically.
 
good point :p
 

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