REVIEW PROBLEMS
Dimensional Analysis, Speed, Velocity,
Acceleration and Free Fall
Review Outline:
• Dimensional Analysis Problems (converting)
• What is speed?
• Calculations using speed formula.
• What is velocity?
• How is velocity different from speed?
• What is acceleration?
• What are three ways an object can accelerate?
• Calculations using acceleration formula.
Review Outline cont’
• What is free fall?
• Acceleration due to gravity (g)
• Finding final velocity for objects in free fall
• Finding the distance for objects in free fall
• What is air resistance?
• What is terminal velocity?
1. A high school athlete runs 100 m in 12.20 seconds.
What is her speed in meters per second? What is her
speed in miles per hour?
2. A liquid is measured in the lab with a
graduated cylinder. Its volume is 75.6 mL.
Convert to gallons.
3. A train leaves the station at the 0.0 m marker
traveling with a constant speed of 36 m/s.
a. How many seconds later will the train pass the
1620.0 meter marker?
b. What is the train’s speed in km/hr?
4. Using the graph,
calculate the average
speed, in meters per
second for each line.
5. An Indy-500 race car’s velocity increases from
4.0 m/s to 36 m/s over a 4.0 second period. What is
the car’s average acceleration?
6.
• This graph represents
a student running a
100 m race. Explain
his race in terms of
speed and
acceleration.
7. If a car with a speed of 2.0 m/s accelerates
at a rate of 5.0 m/s2 for 2.5 seconds, what is
its final speed?
8. A car traveled with an average
speed of 32.5 m/s for 12.8 seconds.
How far did the car travel in that time?
9. A rocket traveling at 155 m/s is
decelerated at a rate of -31.0 m/s2. How long
will it take to stop the rocket?
10. A lemon is dropped from a balcony. It
takes 1.6 seconds for the lemon to hit the
ground.
a. How fast was the lemon traveling when it hit the
ground?
a. What is the height of the balcony?
Answers to Review Problems
1. 8.2 m/s; 18.3 mi/hr
2. 0.02 L
3. a) 45 seconds b) 129.6 km/hr
4. Green = 0.67 m/s blue = 1 m/s red = 1.3 m/s
5. 8 m/s2
6. The student’s speed is constant until 2 seconds. The
7.
8.
9.
10.
student then speeds up and then slows down at end of
trip.
14.5 m/s
416 m
5 seconds
a) 15.68 m/s
b) 12.5 m