Question

Two friends S and A takes a straight route to the same terminal point and travel with constants speeds. At the initial moment, the positions of the two and the terminal point form an equaliteral triangle. When a covered distance of 80km, the new positions of S and A and terminal points form a right angled triangle. When A was at a distance of 120km from the terminal point, S arrived at the terminal point. Find the initial distance between them
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Answer 1

Answer:

υ

2

−u

2

=2a×180

⇒45

2

−u

2

=360a

υ=u+at⇒45=u+a×6

Solve to get u=15ms

−1

, a=5ms

−2

u

2

=0

2

+2ax⇒15

2

=0

2

+2×5x⇒x=22.5m