What is the maximum horizontal distance it can jump?

AI Thread Summary
A flea can achieve a maximum vertical height of 1 cm, resulting in a time of 0.09 seconds in the air during its vertical jump. If the flea jumps at a 45° angle, the time spent in the air is 0.063 seconds. The maximum horizontal distance the flea can jump is calculated to be 0.0196 meters. The discussion highlights the importance of determining initial velocity and time to the top of the jump for accurate calculations. Overall, the calculations and methodology for solving the problem are clarified through collaborative input.
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[SOLVED] The Flea

Homework Statement


A flea, jumping with its highest possible initial speed, can jump to a maximum vertical height of 1 cm. What is
the time spent in the air by the flea during the vertical jump? What would be the time spent in the air if the flea
were instead to leave the ground at an angle of 45° to the horizontal? What is the maximum horizontal distance
it can jump? Answer: 0.09 s, 0.063 s, 0.0196 m

Homework Equations


d=V2t-(1/2)at

The Attempt at a Solution



a)d=0.01m, a=g, v2=0
d=V2t-(1/2)at
0.01=-4.9t^2
t=0.045s *2
t=0.09s
b) tried finding initial velocity from part 1
 
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The initial velocity of the fly v2 is not zero. you made a lot of errors and still managed to get the right answer for the first part.
To solve the rest of the problem you should first have calculated the time to the top of the jump from v = v2 - at at the top of the jump v = 0. then you can get the initial velocity from d = (v_2)t - at^2
 
thanks i get it now
 
u got it solved...!?
i need help still can't figure it out i only get .019780 ... or something like that (just replace the 6 in the package with a 7) and for the other part i get .057 or something like that
 
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