How Far Does a Greyhound Leap When Chasing a Hare?

AI Thread Summary
A greyhound leaps while chasing a hare at a speed of 9.9 m/s and an angle of 27 degrees. The vertical displacement calculated is 3.78 meters, and the horizontal displacement is 7.33 meters, leading to a total distance of 14.66 meters. The time of flight for the leap is approximately 0.504 seconds. This analysis combines kinematic equations to determine the greyhound's leap distance. Understanding these calculations can provide insights into the greyhound's athletic capabilities.
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When chasing a hare along a flat stretch of land, a greyhound leaps into the air at a speed of 9.9 m/s, at an angle 27 degrees above the horizontal

Vf= Viy + at
displacement= Vyt + .5at squared

0= 4.95 (y component for velocity) + 9.81t
t= .504
y= 4.95x.504 + .5x9.81x.504 squared
y displacement= 3.78

using tan 27= 3.745/x
x displacement= 7.33

multiplied by 2 = 14.66
 
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