Your little dog, Fluffy, is excited to see you and jumps straight up in the air...

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Physics

Your little dog, Fluffy, is excited to see you and jumpsstraight up in the air to a height of 0.680 m . What is Fluffy'sinitial speed as she leaves the ground? You can assume that Fluffyis in \"Free Fall\" (constant acceleration) during the jump.
v =
3.65
m/s
Correct
Part B
What is the length of time that Fluffy is in the air?

Answer & Explanation Solved by verified expert

3.7 Ratings (290 Votes)

Solution-

Height h = 0.680m
So the displacement of the Fluffy S = 0.68 m
Accleration a = -g
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = -9.8 m / s ^ 2
Iinitial speed of the Fluffy u = ?
final speed i.e., speed at maximum heightÂ Â is v = 0 m / s
from the relation v ^ 2 - u ^ 2 = 2aS
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â - u ^ 2 = 2 ( -g ) S
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â u= âˆš[ 2 gS ]
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 3.65 m / s
(b). time the flea in air = time of scent + time ofdecent
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = ( u / g ) + ( u / g )
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 2u / g

=2*3.65/9.81

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.744 s

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