A ladybug is at rest and accelerates to 2.0 m/s^2

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A ladybug accelerates from rest at 2.0 m/s² to catch a mite 20 cm away, which moves at a constant speed of 5.00 mm/s. To solve the problem, one can use the equations of motion for both the ladybug and the mite, equating their positions to find the time it takes for the ladybug to reach the mite. The discussion emphasizes the importance of showing work in homework problems for better understanding. The participants encourage a collaborative learning environment while reminding newcomers to engage with the material. Overall, the thread highlights the process of solving motion problems in physics.
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I need Help :( Plz can someone Help

:frown: Hi i need help with motion problems..i am sooo confused..Can someone pLZZ help me with this question-->

A ladybug is at rest and accelerates to 2.0 m/s^2 when it sees a mite, this mite is 20.0 cm away from the ladybug and the mite is traveling at the constant speed of 5.00mm/s. How will long wit it take for the lady bug to reach the mite?

THANK U SOOOOOOOOO MUCH
 
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Ahh this is a classic one...

use the formula's for one-dimensional movements.
Suppose the bug starts moving at the origin of our reference frame (you can choose this as you want thanks to the genius of Descartes and Newton...)
Then the mite is 0.2m in front of the bug. so we get:

bug : x = 2t²/2
mite : x = 0.2 + 0.005t (the velocity needs to be in m/s and it is given in mm/s !)

Equal these two equations and solve for t.

marlon

ps : normally i am not allowed to give you this much info but since you are new :wink: here I welcome you and this is your wedding-gift...enjoy and welcome to the jungle... :biggrin: :biggrin:
 
Very bad marlon ! Being nice to the ladies, eh ? :wink:

Tanya, the policy here regarding homework is that you should show us that you've tried something, and are stuck. Barring this one time, we won't help with homework unless you've made an effort yourself. In the long run, you'll see that this is best for you. :smile:
 
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Good point gokul. Marlon should be spanked, :smile: .
 
Thank U!

Hey Thank u soo much Marlon...i kept on assuming dat distance was the same becasue when the lady bug has reached the mite they will be standing the same spot. To me dat meant the same distance anyways thank u verry much and I am sorry dat i didn't show my work before..i didn't know but next time i sure will. :approve: Thanks Again!

Tanya

P.s - I totally agree with u Gokul43201...it will help me in the long run
 
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