Question

Two trains A and B, 100 km. apart, are travelling towards each other with starting speeds of
50 km/hr. for both. The train A is accelerating at 18 km/hr2 and B is decelerating at 18 km/hr2. Find
the distance (in km) from the initial position of A of the point when the engines cross each other.
A
100​

Answer 1

Answer:

Distance between train A and train B = 100 Km

Right direction -----> taken positive +ve

Left direction <------- taken negative -ve

Speed of train A 50 km/hr

Speed of train B -50 km/hr

Acceleration of train A = 18 km/hr sq.

Acceleration of train B = - 18 km/hr sq.

RELATIVE MOTION

Speed(u) = 50 - (-50) = 100 km/hr

Acc = 18 - (-18) = 36 km/hr sq.

s = ut + 1/2 at sq.

100 = 100(t) +18(t sq)

9t sq + 50t -50 = 0

Explanation:

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