Physics

Physics

Problem

Two spaceships

A

and

B

are drifting in deep space (gravity free). At

t=0

, ship

A

is at position

(0,0)

and ship

B

is at position

(300, 400)

meters. Ship

A

moves with constant velocity

\vec{v}_{A} = (20\hat{i} + 10\hat{j})\,\text{m/s}

. Ship

B

launches a probe with constant velocity

\vec{v}_{B}

to intercept ship

A

. If the interception occurs after

20

seconds, determine the velocity vector

\vec{v}_{B}

.

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