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Junior high school moving point problem (triangle) online and so on!
Solution: Passing through point A makes AD⊥BC pass through BC at point D.

Because △ABC is an isosceles triangle

So point d is the midpoint of the bottom BC.

Bd = 4cm

cos∠ABD=BD/AB=4/5

The passing point A is AE⊥AB, and the passing point BC is E.

AB/BE=cos∠ABD=4/5

BE = 25/4 = 6.25

BE/0.25=6.25/0.25=25(s)

CE=BC-BE=8-6.25= 1.75cm

CE/0.25= 1.75/0.25=7(s)

According to symmetry, we know that point A is the intersection of AF⊥AC and BC at point F.

BF=CE

When P moves to point F, it passes through 7s,AF⊥AC.

When P moves to point E, after 25s,AE⊥AB.