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

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In summary, a plane diving at an angle of 30.0° released a radar decoy and the horizontal distance between the release point and the point where the decoy strikes the ground is 700 m. The plane's speed was 255.0 km/h and the decoy's velocity in meters per second was 61.34 m/s in the horizontal direction. The height of the plane when the decoy was released can be calculated using the formula Y=Yo+VoT+.5(a)(t^2) and was found to be 638.1 m, which was determined to be incorrect due to the initial vertical component of the decoy's velocity not being zero.
  • #1
B-80
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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+VoT+.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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  • #2
B-80 said:
t=m/v = 700/61.34 = 11.41s
Y=Yo+VoT+.5(a)(t^2)
Y=(0)+(0)(t)-4.9(11.41^2)
The y-component of the the initial velocity is not zero.
 
  • #3
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.
 
  • #4
good point :p
 

1. What is projectile motion?

Projectile motion refers to the motion of an object through the air, under the influence of gravity. It is a combination of horizontal and vertical motion.

2. How is projectile motion affected by air resistance?

Air resistance can affect the trajectory and speed of a projectile. The presence of air resistance can cause the projectile to slow down and change direction as it moves through the air.

3. What is the initial velocity of a projectile shot downward?

The initial velocity of a projectile shot downward is the velocity at which it is launched from the point of origin. This can vary depending on the force used to launch the projectile.

4. How does the angle of projection affect the distance traveled by a projectile shot downward?

The angle of projection can affect the distance traveled by a projectile shot downward. A steeper angle will result in a shorter distance, while a shallower angle will result in a longer distance.

5. What factors influence the trajectory of a projectile shot downward?

The trajectory of a projectile shot downward is influenced by several factors, including the initial velocity, angle of projection, air resistance, and the force of gravity. Other factors such as wind, temperature, and air density can also play a role.

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