Modeling Linear Motion with Equations

Now that you have mastered modeling linear motion with equations, use your knowledge to provide the correct answers to the following questions. Be sure to completely answer each question and to show all of your work.

This activity is also available in a printable version.

1. A car is traveling at 25.0 m/s (55 mph) on the highway and accelerates at 3.0 m/s² for 5.0 s. What is its final speed?
2. From this speed, the same car now slows down to 20.0 m/s over 4.0 seconds. What is its acceleration?
3. A car accelerates from 25.0 m/s to 35.0 m/s in 5.0 s. How much distance does it cover in this time?
4. In order to merge into highway traffic, a car accelerates along a 100.0 m on ramp from rest to 25.0 m/s. How much time does this take?
5. A car traveling 25.0 m/s accelerates with a constant acceleration of 2.5 m/s² for 8.0 s. How much distance does the car travel in this time?
6. An ice skater accelerates from 2.5 m/s with constant acceleration of 1.5 m/s² over 15.0 m. What is her final velocity?

Once you have finished answering the questions, submit your responses to the dropbox.