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This problems relate to the gliding flight of flying squirrels. These squirrels

ID: 1524842 • Letter: T

Question

This problems relate to the gliding flight of flying squirrels. These squirrels glide from tree to tree at a constant speed moving in a straight line tipped below the vertical and steadily losing altitude as they move forward Short and long glides have different profiles. (figure 1) A squirrel competing a short glide travels in a straight few tipped 40 degree below the horizontal. The squirrel starts 9.0 m above the ground on one tree and glides to a second tree that is a horizontal distance of 3.5 in away. What is the length of the squirrel's glide path? Express your answer to two significant figures and include the appropriate units. L = m What is the squirrel's height above the ground when it lands? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

a)

For the horizontal length traveled : 3.5 = L*cos(40)

So, L = 4.57 m

b)

height above the ground , h' = 9 - L*sin(40)

= 9 - 4.57*sin(40 deg)

= 6.06 m

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