6.3 RELATIVE VELOCITY

Two bored brothers at an airport decide to race to pass the time. The older is faster, capable of an average 7.8 m/s velocity in a short race. The younger can only average 6.2 m/s. To even the playfield, the younger brother gets on the moving pedestrian conveyor belt that is moving 1.3 m/s once the race begins. All directions are currently + on these velocities. They begin at the same starting line (origin = aligned with beginning of conveyor belt) and run the same distance (end of the conveyor belt). Who wins the race?

So the older brother is faster, capable of an average 7.8 m/s velocity in a short race and the younger can only average 6.2 m/s. The younger brother runs his race on the moving pedestrian conveyor belt that is moving 1.3 m/s once the race begins. All directions are currently + on these velocities. They begin at the same starting line (origin = aligned with beginning of conveyor belt) and run the same distance (end of the conveyor belt). If the conveyor belt is 50.8 meters, how many secondsdoes it take the older brother to complete the race?

So the older brother is faster, capable of an average 7.8 m/s velocity in a short race and the younger can only average 6.2 m/s. The younger brother runs his race on the moving pedestrian conveyor belt that is moving 1.3 m/s once the race begins. All directions are currently + on these velocities. They begin at the same starting line (origin = aligned with beginning of conveyor belt) and run the same distance (end of the conveyor belt). If the conveyor belt is 50.8 meters, how many seconds does it take the younger brother to complete the race?

Again, the older brother has an average 7.8 m/s velocity in a short race and the younger has an average 6.2 m/s. The younger brother runs his race on the moving pedestrian conveyor belt that is moving 1.3 m/s once the race begins. All directions are currently + on these velocities. After losing 3 races, the younger brother suggests they instead reverse direction and have the older brother run on the conveyor belt. This means the older brother would now be running in the opposite direction of the conveyor belt. The younger brother believes this will now slow the older brother's resultant velocity so he can no longer win the race. Is this belief true or false?

A boat heading due East (0 degrees) at a velocity of 4.25 m/s East is trying to cross a 78 m river that has a current flowing south (270 degrees) at 2.20 m/s. How many seconds will it take this boat to cross the river?

A boat heading due East (0 degrees) at a velocity of 4.25 m/s East is trying to cross a 78 m river that has a current flowing south (270 degrees) at 2.20 m/s. It was intending to hit a point due East on the other side of the river but it misses its target. By how much does it miss its target?

A boat heading due East (0 degrees) at a velocity of 4.25 m/s East is trying to cross a 78 m river that has a current flowing south (270 degrees) at 2.20 m/s. What is the magnitude of its resultant vector in m/s (careful with significant digits on this one - consider only numbers you use in actual math)?

A boat heading due East (0 degrees) at a velocity of 4.25 m/s East is trying to cross a 78 m river that has a current flowing south (270 degrees) at 2.20 m/s. What is the direction (Physics convention) of its resultant velocity?

A boat heading due East (0 degrees) at a velocity of 4.25 m/s East is trying to cross a 78 m river that has a current flowing south (270 degrees) at 2.20 m/s. The boat missed its target due East across the river, but which of the following could have allowed it to successfully reach its target?

An airplane heading due north (90 degrees) at 135 m/s encounters a wind blowing west (180 degrees) at 25.0 m/s. Which of the following correclty shows its resultant velocity and direction?