 In this scene, the bear throws the deer into the air.  The deer is airborne for about 18 seconds  We will prove that the deer went too high and.

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Presentation transcript:

 In this scene, the bear throws the deer into the air.  The deer is airborne for about 18 seconds  We will prove that the deer went too high and would have been thrown too fast for air-time of this length.

 Projectile motion › Gravity accelerates objects toward the ground, and determines how long objects will be air-born depending on initial velocity › The height of a projectile is given by the equation d=1/2gt 2 where t is the time of descent from the highest point --- so we used 9 seconds in our calculations for height.

 Distance (height ) › d=1/2gt 2 › d=1/2(9.8)9 2 › d=1/2(9.8)81 › d=1/2(793.8) › d=396.9m

 Converting meters to feet › 396.9m ›.304 m / ft  = ft › 1story building = 12 ft › ft › 12 ft / story › = stories

 Below we calculated how much initial speed the bear had to throw the deer in order to get to a height of almost 400 m.  d = v i t + ½ gt 2 › 396.9= 9v + ½ (-9.8)(9) 2 › 396.9= 9v + ½ (-9.8)(81) › 396.9= 9v + ½(-793.8) › 396.9= 9v › 793.8=9v › V = 88.2 m / s

 Converting m / s to mph › mph= m / s › 88.2 m / s = 197 mph › Top speed of a white tail deer is 30 mph

If the deer could run 197 mph it would look like this…

 A bear cannot throw a deer with a speed of 197 mph or throw it as high as the Sears tower !!