Cracking the SAT Physics Subject Test

B + C = A Since we are working with two dimensions, it is usually easiest to choose component vectors that lie along the x- and ...

(Ax)^2 + (Ay)^2 = A^2 In the figure above, vector A, which is in the Cartesian plane is made up of the components Ax along the x ...

If the components of A are Ax and Ay, then A = Axi + Ayj. ...

Vector Operations Using Components Using perpendicular components makes the vector operations of addition, subtraction, and scal ...

C = A + B Cx = Ax + Bx Cy = Ay + By To add two or more vectors, resolve each vector into its horizontal and vertical components. ...

C = A − B Cx = Ax − Bx ...

Cy = Ay − By Scalar Multiplication Scalar multiplication just means that you increase the scale of the vector. (Or decrease it, ...

3 A = 3Ax + 3Ay If the components of A are Ax = 2 and Ay = −3, and the components of B are Bx = −4 and By = 2, compute the comp ...

(A) Using unit vector notation, A = 2i − 3j and B = −4i +2j. Adding components, we see that A + B = (2 + [−4])i + ([−3] + 2)j = ...

In this example, Cx = 13, Cy = 18, and vector C is the hypotenuse of the two. a^2 + b^2 = c^2 132 + 182 = C^2 493 = C^2 Magnitud ...

In general, any vector in the plane can be written in terms of two perpendicular component vectors. For example, vector W (shown ...

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Key Terms scientific notation trig functions sine cosine tangent Pythagorean theorem SOHCAHTOA vector commutative law for additi ...

Summary Use SOHCAHTOA to remember the definitions of sinθ, cosθ, and tanθ. sinθ = cosθ = tanθ = A vector is a quantity that has ...

Chapter 2 Kinematics Kinematics in many ways is the heart and soul of physics and, not surprisingly, a big deal on the SAT Physi ...

DISPLACEMENT Displacement refers to an object’s change in position. It’s the vector that points from the object’s initial positi ...

Even though the insect has crawled a total distance of 6 meters, its displacement is 0 meters. During the course of the bug’s mo ...

Here’s How to Crack It Displacement refers only to the object’s initial position and final position, not the details of its jour ...

The total distance covered is 500 m, but the net distance—the displacement—is 0. Distance vs. Displacement Note that distance is ...

SPEED AND VELOCITY When we’re in a moving car, the speedometer tells us how fast we’re going; it gives us our speed. But what do ...