Aplane is flying horizontally at a height of 500 m and a constant speed of 429 km/h when an object is projected downward at an initial speed of 35.0 m/s. if air resistance is neglected, the average vertical component of velocity between the object's release and its striking the ground is

 the average vertical component of velocity between the object's release and its striking the ground is 49.5 m/s or 178 km/h

Explanation:

1) The motion of an object under the action of gravity, when air resistance is neglected is called projectile motion. The path is a curve with the form of  a parabola.

2) The equations that rule that motion are:

         Vy = Voy + gt

         d = yo - Voy×t - gt² / 2

         Vy² = Voy² - 2gd

        Vy² = 2(9.81m/s²)(500m) = 9,810 m²/s² ⇒ Vy = √(9,810 m²/s²) = 99 m/s

3) As per definition the average velocity is displacement / time, so you need to find the time to reach the ground.

4) Conclusion: the average vertical component of velocity between the object's release and its striking the ground is 49.5 m/s or 178 km/h

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