Practice Problems:
1. You are traveling home to Avon from Oklahoma City, OK at 65 mi/h (average). How long does it take to go 713 mi?
2. What is your average velocity for the above round trip from Avon to OKC, back to Avon?
3. Convert 75 mi/h into m/s.
4. If your car goes from 0.00 mi/h to 83.0 mi/h in 17.8 s while drag racing, what is the acceleration (hint: you will need to convert so you are using the same time units)?
5. You are on a cruise ship. It is going 35.5 mi/h S. You walk to the back of the ship at 2.00 mi/h. What is your velocity with respect to a whale floating in the ocean?
6. In the above problem, what is your velocity with respect to a person on the ship who is sitting in a chair?
7. If a bird flies south for 22 miles and then turns east and continues flying for 33 miles, what is its displacement (include the direction in CCW)?
8. What is the distance for the above question?
9. If you drop a penny off a 30.0 meter building, how long will it take to hit the ground?
10. What will the velocity of the penny be immediately before it hits the ground?
11. Find the two non-right angles in a right triangle with a hypoteneuse of 13.5 m and a side of 9.52 m.
12. Draw the addition of two vectors, one is 25 m/s north and the next is 35 m/s north east. Now draw the resultant vector.
13. A car is moving at 38 m/s. The driver accelerates for 13 s at a rate of 2.5m/s2. How fast is the car moving at the end of the 13 seconds?
14. For the previous problem, how far does the car get during the 13 s?
15. Draw vectors A and B. Vector A represents 25 miles to the east. Vector B represents 13 miles south. Add these vectors and calculate the resultant vector.
16. Calculate the depth of a well of a rock dropped into it takes 8.7 seconds to hit the bottom.
17. Calculate the time the rock would take to hit the bottom of the same well if it was on the moon (g = 9.8÷6)
18. If you slow down from 87 m/s to a stop over a distance of 125 m, what is your acceleration in g’s (how many times more than gravity is it, 1g = 9.8 m/s2)?
19. If you are going from 87 m/s and you hit a tree, you will stop over a distance of say 1.5 m (due to the deformation of your car). What is your acceleration in g’s?