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- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/02%3A_One-Dimensional_Kinematics/2.05%3A_AccelerationAcceleration is the rate at which velocity changes. In symbols, average acceleration a− is a−= ΔvΔt=vf−v0tf−t0. The SI unit for acceleration is m/s2 . Acceleration is a vector, and thus has a both...Acceleration is the rate at which velocity changes. In symbols, average acceleration a− is a−= ΔvΔt=vf−v0tf−t0. The SI unit for acceleration is m/s2 . Acceleration is a vector, and thus has a both a magnitude and direction. Acceleration can be caused by either a change in the magnitude or the direction of the velocity. Instantaneous acceleration a is the acceleration at a specific instant in time. Deceleration is an acceleration with a direction opposite to that of the velocity.
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/02%3A_One-Dimensional_Kinematics/2.03%3A_Vectors%2C_Scalars%2C_and_Coordinate_SystemsA vector is any quantity that has magnitude and direction. A scalar is any quantity that has magnitude but no direction. Displacement and velocity are vectors, whereas distance and speed are scalars. ...A vector is any quantity that has magnitude and direction. A scalar is any quantity that has magnitude but no direction. Displacement and velocity are vectors, whereas distance and speed are scalars. In one-dimensional motion, direction is specified by a plus or minus sign to signify left or right, up or down, and the like.
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/04%3A_Dynamics-_Force_and_Newton's_Laws_of_Motion/4.02%3A_Development_of_Force_ConceptFigure \PageIndex2:The force exerted by a stretched spring can be used as a standard unit of force. (a) This spring has a length x when undistorted. (b) When stretched a distance Δx ...Figure \PageIndex2:The force exerted by a stretched spring can be used as a standard unit of force. (a) This spring has a length x when undistorted. (b) When stretched a distance Δx the spring exerts a restoring force, Frestore which is reproducible. (c) A spring scale is one device that uses a spring to measure force.
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/03%3A_Two-Dimensional_Kinematics/3.04%3A__Vector_Addition_and_Subtraction-_Analytical_MethodsAnalytical methods of vector addition and subtraction employ geometry and simple trigonometry rather than the ruler and protractor of graphical methods. Part of the graphical technique is retained, be...Analytical methods of vector addition and subtraction employ geometry and simple trigonometry rather than the ruler and protractor of graphical methods. Part of the graphical technique is retained, because vectors are still represented by arrows for easy visualization. However, analytical methods are more concise, accurate, and precise than graphical methods, which are limited by the accuracy with which a drawing can be made.
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/05%3A_Uniform_Circular_Motion_and_Gravitation/5.05%3A_Fictitious_Forces_and_Non-inertial_Frames_-_The_Coriolis_ForceWhat do taking off in a jet airplane, turning a corner in a car, riding a merry-go-round, and the circular motion of a tropical cyclone have in common? Each exhibits fictitious forces—unreal forces th...What do taking off in a jet airplane, turning a corner in a car, riding a merry-go-round, and the circular motion of a tropical cyclone have in common? Each exhibits fictitious forces—unreal forces that arise from motion and may seem real, because the observer’s frame of reference is accelerating or rotating.
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/07%3A_Linear_Momentum_and_Collisions/7.02%3A_Linear_Momentum_and_ForceThe scientific definition of linear momentum is consistent with most people’s intuitive understanding of momentum: a large, fast-moving object has greater momentum than a smaller, slower object. Linea...The scientific definition of linear momentum is consistent with most people’s intuitive understanding of momentum: a large, fast-moving object has greater momentum than a smaller, slower object. Linear momentum is defined as the product of a system’s mass multiplied by its velocity. Momentum is directly proportional to the object’s mass and also its velocity. Thus the greater an object’s mass or the greater its velocity, the greater its momentum.
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/03%3A_Two-Dimensional_Kinematics/3.03%3A_Vector_Addition_and_Subtraction-_Graphical_MethodsA vector is a quantity that has magnitude and direction. Displacement, velocity, acceleration, and force, for example, are all vectors. In one-dimensional, or straight-line, motion, the direction of a...A vector is a quantity that has magnitude and direction. Displacement, velocity, acceleration, and force, for example, are all vectors. In one-dimensional, or straight-line, motion, the direction of a vector can be given simply by a plus or minus sign. In two dimensions (2-d), however, we specify the direction of a vector relative to some reference frame (i.e., coordinate system), using an arrow having length proportional to the vector’s magnitude and pointing in the direction of the vector.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/08%3A_Chapter_8/8.02%3A_Equipotential_Surfaces_and_ConductorsWe can represent electric potentials pictorially, just as we drew pictures to illustrate electric fields. This is not surprising, since the two concepts are related. We use arrows to represent the mag...We can represent electric potentials pictorially, just as we drew pictures to illustrate electric fields. This is not surprising, since the two concepts are related. We use arrows to represent the magnitude and direction of the electric field, and we use green lines to represent places where the electric potential is constant. These are called equipotential surfaces in three dimensions, or equipotential lines in two dimensions.
- https://phys.libretexts.org/Courses/Berea_College/Introductory_Physics%3A_Berea_College/03%3A_Describing_Motion_in_One_Dimension/3.01%3A_Motion_with_Constant_SpeedSince the position as a function of time for the ball plotted in Figure \PageIndex1 is linear, we can summarize our description of the motion using a function, x(t), instead of having to tab...Since the position as a function of time for the ball plotted in Figure \PageIndex1 is linear, we can summarize our description of the motion using a function, x(t), instead of having to tabulate the values as we did in Table 3.1.1. The velocity, vx, is simply the difference in position, ∆x, between any two points divided by the amount of time, ∆t, that it took the object to move between those to points (“rise over run” for the graph of x(t)):
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/01%3A_Nature_of_Physics/1.08%3A_ExercisesThe purpose of this problem is to show the entire concept of dimensional consistency can be summarized by the old saying “You can’t add apples and oranges.” If you have studied power series expansions...The purpose of this problem is to show the entire concept of dimensional consistency can be summarized by the old saying “You can’t add apples and oranges.” If you have studied power series expansions in a calculus course, you know the standard mathematical functions such as trigonometric functions, logarithms, and exponential functions can be expressed as infinite sums of the form \sum_{n=0}^{\infty} a_{n} x^{n} = a_{0} + a_{1} x + a_{2} x^{2} + a^{3} x^{3} + \cdotp \cdotp \cdotp, where th…
- https://phys.libretexts.org/Courses/Berea_College/Introductory_Physics%3A_Berea_College/03%3A_Describing_Motion_in_One_Dimension/3.06%3A_SummaryIf an object has a position x^A(t) in a given inertial frame of reference, x, that is moving with a velocity v^{'B} compared to a different inertial frame of reference, x^{'}, then the...If an object has a position x^A(t) in a given inertial frame of reference, x, that is moving with a velocity v^{'B} compared to a different inertial frame of reference, x^{'}, then the position of the object in the x^{'} frame of reference is given by x'(t)=v^{'B}+x^{A}(t).
