Practice Numerical Problems (3.6) - Composition and Resolution of Velocity

Practice: Numerical Problems

Lesson 3.6Composition and Resolution of Velocity

Practise this section

9 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Calculate the resultant velocity if two boats are moving with velocities of 20 m/s east and 30 m/s north.
Show hintHide hint
Use the Pythagorean theorem.
Question 2.
What is the angle of the resultant velocity when adding 15 m/s north to 40 m/s east?
Show hintHide hint
Use tangent to find the angle.
3Question 3.
What is the resultant velocity when two perpendicular velocities of 30 m/s and 40 m/s are combined?
- 50 m/s
- 70 m/s
- 100 m/s
Show hintHide hint
Think about how to find the resultant vector.
4Question 4.
True or False: Resolution of a velocity vector involves breaking it into components.
- True
- False
Show hintHide hint
Consider what it means to resolve vectors.
Question 5.
A ship sails at a speed of 40 m/s south, and then changes course to travel at 60 m/s east. Find the resultant speed, its angle, and the method used.
Show hintHide hint
Combine vectors using Pythagorean theorem and tangent.
Question 6.
A football is kicked at 20 m/s at an angle of 75 degrees to take off. Find both horizontal and vertical components, displaying each calculation.
Show hintHide hint
Divide calculations into cosine and sine for each axis.

5 more questions in this section. Enroll free to practise them all.