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In this captivating video, watch as a bear throws a deer high into the air, keeping it airborne for approximately 18 seconds. We delve into the physics of projectile motion, illustrating how gravity influences the deer's flight. Utilizing the equation d = 1/2 g t², we compute that the deer reaches a height of nearly 400 meters, equivalent to over 108 stories. Discover the astonishing speed a bear would need to achieve, reaching 197 mph, far beyond a deer's top speed of 30 mph. Join us for a compelling analysis of this incredible feat!
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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 !!