Question 3 (20%)\ A camera man is standing on

carA

and he is tracking the moment of

carB

which is traveling around a curve with a tangential velocity of

20(m)/(s)

as shown in Fig.Q3. The line connecting

A

and

B

at this instant is at right angle to the velocity direction of

carB

and the distance between them is

30m

. Car

A

is running at speed

20(m)/(s)

westward.\ (a) Determine the velocity of

carB

relative to

A

in vector form (in terms of unit vector

i

and

j

), and\ (b) The angular rate

\\\\theta ^()

at which the camera man must turn the camera such that he can keep the camera directed on

carB

.

Question 3 (20\%) A camera man is standing on carA and he is tracking the moment of carB which is traveling around a curve with a tangential velocity of 20m/s as shown in Fig.Q3. The line connecting A and B at this instant is at right angle to the velocity direction of car B and the distance between them is 30m. Car A is running at speed 20m/s westward. (a) Determine the velocity of car B relative to A in vector form (in terms of unit vector i and j ), and (b) The angular rate at which the camera man must turn the camera such that he can keep the camera directed on car B