1. The Jet and the Tailwind (1-D) A commercial jet, J, is traveling East. A weather balloon, B, measures the jet's speed to be 350 m/s. Simultaneously, the ground control tower, G, reports that the jet's speed relative to the ground is 380 m/s. Assuming all motion is along the East-West line: a. What is the velocity of the wind relative to the ground (vWG)? (Specify magnitude and direction). i. 30 m/s East a. If the jet needed to travel West instead, but maintained the same airspeed (vJW), what would its speed relative to the ground be? i. -320 m/s 2. The Subway and the Walkers (1-D) A subway train, T, travels North at a constant speed of 18 m/s relative to the station platform, P. a. A commuter, A, is walking North through the train cars at 1.5 m/s relative to the train. What is Commuter A's velocity relative to the platform (vAP)? i. 19.5 m/s North b. A second commuter, B, is walking South through the train cars. A person standing on the platform measures Commuter B's speed to be 16.0 m/s. What is Commuter B's speed relative to the train (vBT)? i. -34 m/s 3. The Two Trains Passing (1-D, Constant Velocity) Train A is traveling East at 25 m/s relative to the ground, G. Train B is traveling West at 35 m/s relative to the ground. The length of Train A is 150 m, and the length of Train B is 200 m. a. What is the velocity of Train B as measured by a passenger in Train A (vBA)? i. -60 m/s (West) b. If the front ends of the two trains are adjacent at t=0, how long does it take for the trains to completely pass each other (i.e., until the rear ends are adjacent)? i. ~5.83 seconds 4. Catching the Train (1-D, Position & Time) A train, T, is moving East at 10 m/s relative to the ground, G. A passenger, P, is running on the ground parallel to the tracks at 6.0 m/s East. At t=0, the passenger is 50 m East of the rear of the 200 m long train. a. What is the velocity of the train relative to the passenger (vTP)? i. 4 m/s East b. How long does it take for the passenger to reach the rear of the train? i. 12.5 seconds 5. The River Rescue (1-D, Time/Distance) A lifeguard, L, can swim at 2.0 m/s relative to the water, W. The river flows North at 0.5 m/s relative to the shore, S. A struggling swimmer, D, is 150 m North of the lifeguard's starting point. a. If the lifeguard swims North, what is her velocity relative to the shore (vLS)? i. 2.5 m/s North b. How long does it take the lifeguard to reach the drowning swimmer? i. 60 seconds c. If the lifeguard turned back South immediately after reaching the swimmer, how long would the return trip take? (Assume the swimmer is motionless relative to the shore after being reached). i. 100 seconds