- #1
Satvik Pandey
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Homework Statement
A rocket is moving in a gravity free space with a constant acceleration of 2m/s2 along +x direction. The length of chamber inside the rocket is 4m. A ball is thrown from the left end of the chamber in +x direction with a speed of 0.3m/s relative to rocket. At the same time, another ball is thrown in the -x direction with the speed of 0.2m/s from the right end of the rocket relative to the rocket. Find the tims in seconds when the two balls hit each other.
Homework Equations
The Attempt at a Solution
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According to my book the answer is 2 seconds. I am pretty much convinced by the solution of this question given but I am unable to find mistakes in my approach.
I tried to find ##a_{ba}##
##a_{r}=2## (##a_{r}## is the acceleration of the rocket)
So ##a_{br}=-2##
and ##a_{ar}=-2##
Also ##a_{br}=-2=a_{b}-a_{r}##...(1) (a_{br} is the acceleration of B wrt rocket)
and ##a_{ar}=-2=a_{a}-a_{r}##...(2)
On subtracting eq(2) from eq(1) we get
##a_b-a_a=0## So ##a_{ba} =0##
As the acceleration is constant so
##s_{relative}=u_{relative}t+0.5a_{relative}t^{2}##
Here ##u_{relative}=0.5##
As acceleration is zero so I got
##t=\frac{4}{0.5}=8 sec.##
What am I doing wrong?