**Unit 1: One-Dimensional
Kinematics**

**Problem Set A**

The following selection of problems are sample problems. Individual student problem sets will vary since numerical information is randomly-generated.

**Directions:**

For the following problems:

- compute the unknown quantity and enter the answer in the blank.
- give regard to positive and negative values and include the sign in the answer (if negative).
- do not round any computed numbers until the last calculation.
- enter your answers accurate to the second decimal place (unless told otherwise).

**Problem 1: **

Seeing the light turn yellow, Willie Makeit gives it the gas and accelerates from +15.0 m/s to +23.1 m/s in 2.4 seconds. Determine the average acceleration of Willie's car.

**Problem 2:**

A rightward moving car slams on the brakes and slows down from 31.2 m/s to 4.9 m/s in 3.87 seconds. Determine the average acceleration of the car.

**Problem 3: **

A race car accelerates from rest to a speed of 49.4 m/s in 4.97 seconds. Determine the distance traveled during this time period.

**Problem 4: **

A train is accelerated uniformly from 13.1 m/s to 36.2 m/s in 8.2 s. Determine the displacement of the train.

**Problem 5: **

Starting from rest, a car moves 102.5 m in 6.2 s. Determine the car's average acceleration.

**Problem 6: **

A bicyclist is at the crest of a hill and moving with a speed of 11.2 m/s. If she accelerates at a rate of 1.12 m/s/s, then what is her displacement after 9.3 seconds.

**Problem 7: **

Luke Autbeloe drops a stone into a well. The stone splashes into the water below after falling for a time of 4.8 seconds. The stone accelerates at a rate of -9.8 m/s/s. Determine the depth of the well (absolute value only; no + or - sign).

**Problem 8: **

A golf ball rolls up a long hill on a miniature golf course. It starts with a speed 3.2 m/s and accelerates at a uniform rate of -.8 m/s/s. Determine its velocity after 1.75 seconds.

**Problem 9: **

An airport engineer is assigned the task of designing a run-way which accomodates airplanes which reach a takeoff speed of 68.8 m/s. If the planes are capable of accelerating at a constant rate of 3.2 m/s/s. Determine the minimum length required to allow the airplanes to take off.

**Problem 10: **

Car A and Car B are separated by a distance of 62.5 meters and are traveling with a speed of 31.2 m/s. Car A - the lead car slams on its brakes and accelerates at -9.3 m/s/s. Car B slams on its brakes at exactly the same time and accelerates at -8.5 m/s/s. Determine the distance between cars upon coming to a stop.

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