A body looses half of its velocity while penetrating 3 cm into a wooden block, then how much will it penetrate more before finally coming to rest. Please explain

Question

pratyush5 · Answer

@ashwinjohn3 @yrelhan4  @uri

pratyush5 · Answer

i have got the answer but i want to know a proper method

yrelhan4 · Answer

newtons law of motion will do it for you!

pratyush5 · Answer

i used v^2 - u^2 = 2as

pratyush5 · Answer

i just need to know what should i take for acceleration
or should i ignore it

anonymous · Answer

u must find the acceleration dude....

anonymous · Answer

Ok....Acceleration is negative since it is slowing down.....

pratyush5 · Answer

ya sure

anonymous · Answer

here v=u/2,and use the equation v^2=u^2-2as

anonymous · Answer

then u will get accelration

anonymous · Answer

then finally equate v=0,a=obtained from above and find s!!!

anonymous · Answer

since here the question asked is "how much more will it penetrate" initial velocity=u/2...

pratyush5 · Answer

i am getting a= -u^2/8

pratyush5 · Answer

is dat right
?

yrelhan4 · Answer

yup..

anonymous · Answer

yup....

pratyush5 · Answer

there fore the equation for finding "s" should be|dw:1359144797548:dw| right