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The video. 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. Physics Property. Projectile motion
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The video • 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.
Physics Property • 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=1/2gt2 where t is the time of descent from the highest point --- so we used 9 seconds in our calculations for height.
Calculations • Distance (height ) • d=1/2gt2 • d=1/2(9.8)92 • d=1/2(9.8)81 • d=1/2(793.8) • d=396.9m
Calculations • Converting meters to feet • 396.9m • .304m/ft • =1302.16 ft • 1story building = 12 ft • 1302.16 ft • 12ft/story • = 108.5 stories
Initial Speed • 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 = vit + ½ gt2 • 396.9= 9v + ½ (-9.8)(9)2 • 396.9= 9v + ½ (-9.8)(81) • 396.9= 9v + ½(-793.8) • 396.9= 9v-396.9 • 793.8=9v • V = 88.2 m/s
Initial speed • Converting m/s to mph • mph= .44704 m/s • 88.2 m/s = 197 mph • Top speed of a white tail deer is 30 mph
Conclusion • A bear cannot throw a deer with a speed of 197 mph or throw it as high as the Sears tower !!