*37. ssm An airplane with a speed of 97.5 m/s is climbing upward at an angle of 50.0° with respect to the horizontal. When the plane’s altitude is 732 m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth. (b) Relative to the ground, determine the angle of the velocity vector of the package just before impact.

Horizontal motion gives

 

So if we get t we can solve for D.  We get t from vertical motion

 

Put everything on same side

Quadratic Formula needed to solve for t.

 

 

Now plug in values

 

 

 

 

We know the positive time is the one we use.  So the distance the package traveled is

 

 

To find the angle we use

 

 

 

 

 

 

We choose – sign as we know velocity is pointing down

 

 

 

 

 

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This page last updated on January 11, 2020