i was doing the step by step for the magnitude and directionof acceleration. the

Question

i was doing the step by step for the magnitude and directionof acceleration. the problem is the step by step doesnt showhow to get the magnitude while moving upward and downward. couldyou please explain how to do it. the question is if a flea can jum straight up to a height of22.0 c, what is its initial speed as it leaves the ground. b) howlong is it in the air? c) what are the magnitude and direction foits acceleration while it is i) moving upward ii) moving downward?iii) at the highest point? i was doing the step by step for the magnitude and directionof acceleration. the problem is the step by step doesnt showhow to get the magnitude while moving upward and downward. couldyou please explain how to do it. the question is if a flea can jum straight up to a height of22.0 c, what is its initial speed as it leaves the ground. b) howlong is it in the air? c) what are the magnitude and direction foits acceleration while it is i) moving upward ii) moving downward?iii) at the highest point?

Explanation / Answer

At height h ( h=22 cm in this case) the potentialenergy Pe of the flea is Pe = mgh while as it jumps up or land it has a kinetic energy Ke equalto Ke= 0.5mV2 therefore 0.5mV2 = mgh V= (2 gh) V=(2 x 9.81 x 0.22) = 2.08 = 2.10m/s at the highest point the flea will have velosity V=0. a)initial speed as it leaves the ground V=2.10m/s b) how long is it in the air? since h=0.5gt2 t=[ 2h/g] =(2 x 0.22/9.81)= 0.21s c) what are the magnitude and direction fo its accelerationwhile it is i) moving upward 9.81 m/s2 - 0 ii) moving downward? 9.81 m/s2 + 0 iii) at the highest point? 9.81m/s2    the only force acting on the fleaones airborn is the gravity.

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