Relative velocity in two dimensions Knowledge-Based Practice

Questions

1. 1.

   A train travels due north at 24 m/s relative to the ground, while a drone moves due east at 10 m/s relative to the train. What is the speed of the drone relative to the ground?

   • A) 14 m/s
   • B) 26 m/s
   • C) 34 m/s
   • D) 22 m/s
2. 2.

   An airplane travels at a speed of 200 km/h relative to the air, and a steady wind blows due east at 100 km/h relative to the ground. In which direction must the airplane head so that its velocity relative to the ground is directed due north?

   • A) 30° east of north
   • B) 30° west of north
   • C) 60° west of north
   • D) 60° east of north
3. 3.

   A boat heads due north across a 120 m wide river at a speed of 4.0 m/s relative to the water. If the river current flows due east at 3.0 m/s, how far downstream from the point directly opposite the launch site does the boat reach the opposite bank?

   • A) 90 m
   • B) 72 m
   • C) 150 m
   • D) 160 m
4. 4.

   Ship A moves due east at $16\text{ m/s}$ and Ship B moves due north at $12\text{ m/s}$, both with velocities measured relative to the water. What is the magnitude of the velocity of Ship A relative to Ship B?

   • A) $20\text{ m/s}$
   • B) $28\text{ m/s}$
   • C) $4\text{ m/s}$
   • D) $14\text{ m/s}$

Answers and step-by-step solutions appear after you finish the test.