a plane is flying horizontally with speed 294 m/s at a height 2360 m above the ground, when a package is dropped from the plane. the acceleration of gravity is 9.8m/s.

horizontal distance from the relese point to the impact point is 6452.1534m

A second package is thrown downward from the plane with vertical speed V1=60 m/s.

--what is the magnitude of the total velocity of the package at the moment it is thrownas seen by an observer on the ground? answer in m/s

--what horizontal distance is traveled by this package? answer in m

1. magnitude of the total velocity

The package has an initial horizontal velocity and vertical velocity

Vih = 294 m/s

Viv = 60 m/s

So the magnitude of the total velocity is the hypothenuse:

Vi = sqrt(294^2 + 60^2) = 300 m/s

2. horizontal distance

1st checking with the first part of the text

d = 1/2 at^2

t = sqrt(2d/a) = sqrt(2x2360/9.8) = 21.946s

21.946s*294m/s = 6452. m

So there is no air resistance

2nd: because there is an initial vertical velocity of 60m/s the equation is

d = 1/2at^2 + vt (d,a and v are all positive since they are all oriented downward)

2360 = 9.8/2 t^2 + 60t

0 = 4.9t^2 + 60t - 2360

solve for t

t = 16.7 s

In that time the package will have traveled 4910 m (16.7s x 294m/s).

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