On the road, a bus and a cyclist are moving towards each other. Their coordinates at the beginning

On the road, a bus and a cyclist are moving towards each other. Their coordinates at the beginning of the movement were 400 m and -800 m. Five seconds later the bus moved 100 m, and the bicycle pedist 75 m. Find the final coordinates, the initial and final distance between them.

ha0 = 400 m.

хв0 = – 800 m.

t = 5 s.

Sa = 100 m.

Sw = 75 m.

S0 -?

S -?

ha -?

xv -?

Since the movement occurs in the direction of one axis, the distance between them at the initial moment of time S0 is found by the formula: S0 = xa0 – xv0.

S0 = 400 m – (- 800 m) = 1200 m.

xa = xa0 – Sа.

ha = 400 m – 100 m = 300 m.

xv = xb0 + Sv.

hv = – 800 m + 75 m = -725 m.

The distance at the end of the movement is expressed by the formula: S = xa – xv.

S = 300 m – (-725) = 1025 m.

Answer: S0 = 1200 m, ha = 300 m, hv = -725 m, S = 1025 m.