A ferry is crossing Pamlico Sound and is located at point P when it is spotted by a nearby lighthouse. It is moving along a constant course angle of a = 15 deg with speed of 90 km/h and is slowing down at a rate of -0.5 m/s² as it approaches its destination. Relative to an observer in the lighthouse at point O determine , r, & and at the instant where r = 400 m and 0 = 60 deg. V a r 0

A meteor P is tracked by a radar observatory on the earth at O. When the meteor is directly overhead (9 = 90°), the following observations are recorded: r = 93 km, = -23 km/s, and 0 = 0.43 rad/s. (a) Determine the speed v of the meteor and the angle ẞ which its velocity vector makes with the horizontal. Neglect any effects due to the earth's rotation. (b) Repeat with all given quantities remaining the same, except that 8 = 80°. Answers: (a) v = B km/s, (b)v= B km/s, Ꮎ X

please solve as symbolically as possible

4. The car decelerates uniformly along the curved road from 26 m/s at A to 10 m/s at C. 250 m PB = 300 m, a. What is the car's velocity at B? O b. What is the total acceleration of the car at B? 50 m c. How long will it take the car to travel from A to C?