Question

TWO PARTICLES A AND B START FROM REST AND MOVE FOR EQUAL TIME ON A STRAIGHT line . THE PARTICLE A HAS AN ACCELERATION A FOR THE FIRST HALF OF THE TOTAL TIME AND 2A FOR THE SECOND HALF . THE PARTICLE B HAS AN ACCELERATION 2A FOR FIRST HALF AND A FOR SECOND HALF . WHO HAS COVER A LARGER DISTANCE .

Answer 1

@Mashy

Answer 2

You answer in mathematics

Answer 3

no.. its not supposed to be in math :P

Answer 4

or here is ok whatever u wish

Answer 5

I am getting same for both of them

Answer 6

btw , i used 2nd equation of motion

Answer 7

ok.. so lets use our stomach, (intuition)

first tell me this

if you have two objects
A and B
A starts from rest.. and B is having 5m/s velocity
and suppose they both accelerate with acceleration, a for some time t

which one covers more distance? A or B ? don't do math.. just use logic

Answer 8

B covers more

Answer 9

Precisely .. because B already had a velocity to begin with..

Answer 10

yess!!

Answer 11

so if we compare the motion of A and Bnow in your question

A first accelerates with a for first half
and during that half, B accelerates with 2a

clearly B travels more.. (infact twice the distance compared to a, in that half time)

and now what u can see is

car B ends up with a velocity which is TWICE that of car A

so now for the rest half, car B accelerates with a, and car accelerates with 2a
but since car B has this advantage of having TWICE THE SPEED TO BEGIN WITH.. (i mean beginning of second half), B will travel more.. can u see that?

Answer 12

Deep thinking there , i got the point

Answer 13

my instinctive reaction was both travel same distance ,

Answer 14

ok now lets do this mathematically together.. and confirm this shall we?

how much distance did A and B travel in the first half? (we will call this time as t)

Answer 15

B has a greater initial velocity to begin with the nexy half

Answer 16

next*

Answer 17

precisely!!

Answer 18

its that part.. that gives B the advantage ;-)

Answer 19

YEs i would love to see that mathematically

Answer 20

How would we do that

Answer 21

for A
intial velocity u = 0
time t = t
acceleration = a
so u can calculate distance s

for B
intial velocity u = 0
time t= t
acceleration = 2a


so find distance for A and B .. this will be for the first half

Answer 22

YES

Answer 23

do it :P