Question

12) Two particles are travelling along a straight line AB of length 20 m. At
the same instant one particle starts from rest at A and travels towards B withi
a constant acceleration of 2 ms-2 and the other particle starts from rest at B
and travels towards A with a constant acceleration of 5 ms? Find how far
from A the particles collide.​

Answer 1

Answer:

at distance of 40/7 m from A

Explanation: let particles collide at C

let distance AC = x and BC = y

then, x+y = 20

1/2 (2) $t^{2}$ +1/2 (5) $t^{2}$ =20   (as s= ut +1/2 a $t^{2}$  here u=0)

7/2 $t^{2}$ =20

$t^{2}$ = 40/7

now x= 1/2 (2) $t^{2}$ = 40/7 m