What is the maximum horizontal distance it can jump?

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SUMMARY

The maximum horizontal distance a flea can jump, given its highest possible initial speed, is 0.0196 meters. The flea spends 0.09 seconds in the air during a vertical jump and 0.063 seconds when jumping at a 45° angle. The calculations utilize the equation d = V2t - (1/2)at, where 'a' is the acceleration due to gravity. The initial velocity must be determined from the time to the peak of the jump to solve for horizontal distance accurately.

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  • Understanding of kinematic equations, specifically d = V2t - (1/2)at
  • Knowledge of gravitational acceleration (g = 9.8 m/s2)
  • Basic principles of projectile motion
  • Ability to perform algebraic manipulations to solve for unknowns
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  • Study the derivation of kinematic equations for projectile motion
  • Learn how to calculate maximum height and range for projectile motion
  • Explore the effects of launch angles on horizontal distance
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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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