Physics

Problem

A pirate ship

A

is stationary. A second pirate ship

B

is moving towards

A

with constant speed

10\,\text{m/s}

. When the ships are

500\,\text{m}

apart, ship

A

fires a cannonball towards

B

with speed

100\,\text{m/s}

at an angle of

30^{\circ}

to the horizontal (relative to ground). At the same instant, ship

B

fires a cannonball towards

A

with speed

80\,\text{m/s}

at an angle of

45^{\circ}

(relative to the ship). Do the cannonballs collide? If no, then what is the minimum distance between them?