Essential Knowledge:
Pythagorean Theorem
SOH-CAH-TOA
Objectives
After studying the material of this chapter, you should be able to:1. Represent the magnitude and direction of a vector using a protractor and ruler.
2. Multiply or divide a vector quantity by a scalar quantity.
3. Use the methods of graphical analysis to determine the magnitude and direction of the vector resultant in problems involving vector addition or subtraction of two or more vector quantities. The graphical methods to be used are the parallelogram method and the Head to tail method.
4. Use the trigonometric component method to resolve a vector components in the x and y directions.
5. Use the trigonometric component method to determine the vector resultant in problems involving vector addition or subtraction of two or more vector quantities.
6. Use the kinematics equations of Chapter Two along with the vector component method of Chapter Three to solve problems involving two dimensional motion of projectiles.
Does anybody know how to do #1 in Chapter 3 problems? I used pythagorean theorem, but I did not get the correct answer.
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1. ssm Two trees have perfectly straight trunks and are both growing perpendicular to the flat horizontal ground beneath them. The sides of the trunks that face each other are separated by 1.3 m. A frisky squirrel makes three jumps in rapid succession. First, he leaps from the foot of one tree to a spot that is 1.0 m above the ground on the other tree. Then, he jumps back to the first tree, landing on it at a spot that is 1.7 m above the ground. Finally, he leaps back to the other tree, now landing at a spot that is 2.5 m above the ground. What is the magnitude of the squirrel’s displacement?
DeleteThis seems kind of like the Vector Island Activity.
DeleteThink of it like ups and downs lefts and rights.
KPSS:
Establish FOR
Create a scale
Draw a picture!
Use Graphical Method(interpret value using scale)
DONE!
Thanks for the tips. I made the problem more complicated than it needed to be.
ReplyDeleteAnand
How so?
ReplyDeleteThis can happen often. So what can you do to avoid that trap? Please post your thoughts...
Bonus: Can you explain how this problem is similar to the Lab Activity.
ReplyDeleteI looked at the very specific details instead of looking at the overall picture. I could avoid this trap by using the key problem solving strategies and analyzing the question and my picture more carefully. In the lab activity, we could separate the vectors according to the direction(north, south, east, west), and then add or subtract based on if they are the opposite directions. (north and south)(east and west) After figuring out the magnitudes for each direction, you could solve for the distance between the initial position and final position. Also, do we have to come early tomorrow because it says on the other post no morning class?
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