Chapter 2, 3 Review
Vectors, 1-D Motion
Name:
Period:
Material from Chapter 2: a couple of graphing questions and a couple of 1-D motion problems
Material from Chapter 3: a couple short vector questions or problems and one large vector problem that you
must solve using all 3 methods
Don’t forget DIMENSIONAL ANALYSIS!!!!
1. Convert 56 miles per hour to meters per second using dimensional analysis. (ans. 25 m/s)
Review of Chapter 2 ***Make sure to use GUESS.***
2. A bus comes to a sudden stop to avoid hitting a dog. It accelerates at -4.1 m/s2 as it slows from 9.0 m/s
to a stop. Find Δt. (ans. 2.2 sec.)
3. When Maggie applies the brakes of her car, the car slows uniformly from 15.0 m/s to 0 m/s in 2.5
seconds.
a. How many meters before a stop sign must she apply her brakes in order to stop? (ans. 19 m)
b. Sketch a velocity vs. time graph for the situation in part a and verify the distance from the
graph.
4. A tennis ball is thrown vertically upward with an initial velocity of 8.0 m/s and caught at the same
height.
a. What is the speed of the ball at the top of the path?
b. What will be the ball’s speed when it returns to its starting height?
c. How long will the ball be in the air? (ans. 1.6 sec.)
d. How high will it go? (ans. 3.3 m)
5. A car with an initial speed of 23.7 km/hr accelerates uniformly at a rate of 0.92 m/s2 for 3.6 seconds.
Find the final speed and its displacement.
(ans. 9.9 m/s, 30 m)
6. A rock is dropped from rest on a planet which the acceleration due to gravity is unknown. If it drops
0.6 meters during the first second, how far will it fall after 5 seconds?
(ans. 15 m)
Review of Chapter 3
7. Explain the difference between a vector and a scalar and include two examples of each.
8. In a scaled drawing of a vector, how are its magnitude and direction shown?
9. You are watching Cops and you see a car skidding across the road into a ditch. Realizing this is a great
application of physics, you pull your friend with a 15-Newton force toward the television at an angle
35o north of east.
a. Find the two components of your force. Make sure your calculator is in degree mode!
b. Show that your answer to part a) is correct by using the Pythagorean Theorem.
Vector Practice #1
A hiker walks 6 km at 35o S of W. Then she walks 4 km at 20o S of E. Calculate her displacement using all 3
methods.
(ans. 5 km at 13o W of S)
Method #1: Graphically
Method #2: By Resolution into Components
Method #3: Using the Law of Cosines and the Law of Sines
Vector Practice #2 A boat is trying to cross a river and is traveling at 14 m/s at 20o E of S. The current is
moving at 10 m/s at 30o N of W. Find the velocity of the boat using all 3 methods. (ans. 9 m/s. at 25o W of S)
Method #1: Graphically
Method #2: By Resolution into Components
Method #3: Using the Law of Cosines and the Law of Sines