Physics

Problem

A tennis player hits a ball '

A

' from ground level with speed

20\,\text{m/s}

at an angle of

30^{\circ}

. At the same instant, her doubles partner hits ball '

B

' from a point

15\,\text{m}

ahead (in the same direction) with speed

15\,\text{m/s}

at an angle of

150^{\circ}

(measured from the same positive

x

-axis, i.e.,

30^{\circ}

backwards). Find the minimum distance between the two balls and the coordinates of ball A at the instant when this minimum distance occurs. (Use

g=10\,\text{m/s}^{2}