Two friends, Barbara and Neil, are out rollerblading. With respect to the ground, Barbara is skating due south at a speed of 3.6 m/s. Neil is in front of her. With respect to the ground, Neil is skating due west at a speed of 2.2 m/s. Find Neil's velocity (a) magnitude and (b) direction relative to due west, as seen by Barbara.

Two ships A and B leave the same port at 3:00 p.m. Ship takes a course N 43°43'W at 30 km per hour while B sails due north. At 5:00 pm., B is directly east of A. What is the speed of ship B and what is the distance between the two ships?

Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dp = 710 m from the intersection and moving at speed vp = 71 km/h. Motorist M is distance dm = 580 m from the intersection and moving at speed v = 58 km/h. What are the (a) x-component and (b) y-component of the velocity of the motorist with respect to the police car? (c) For the instant shown in the figure, what is the angle between the velocity found in (a) and (b) and the line of sight between the two cars? M VM Vp dp (a) Number i Units (b) Number i Units (c) Number i Units >

A shooter observes a remotely controlled hot air balloon. When he detects it, the balloon is at an altitude of 800 m and is moving vertically upwards with a constant speed of 5 m/s. There is 1600 m distance on the horizontal. See figure 1. The bullets from the shooter's weapon have an initial speed of 400 m/s and a fixed angle e (Seno = 3/5 y Cos0 = 4/5). The shooter waits and shoots to destroy the balloon. Take g = 10 m/s?. Neglect the resistance of the air. a) What is the time of flight of the bullet before it hits the balloon? b) What is the altitude of the collision? c) How long does the shooter wait before shooting? 5m/s 1 400m/s 1600m