· Calculating velocity, speed, and acceleration of a particle moving along a curve计算沿曲线运动的粒子的速度、速度和加速度 · Finding derivatives of functions written in polar coordinates极坐标函数求导 · Finding the area of regions bounded by polar curves求曲线包围的封闭区域的面积 考试占比11%–1...
The chapter provides a synoptic view of the connection between velocity and acceleration in terms of the principles of calculus. Physicists make an important distinction between speed and velocity. Velocity is speed plus direction, while speed is only the instantaneous time rate of change of distance...
Calculus using Distance, Velocity and Acceleration微积分的使用距离,速度与加速度 CalculususingDistance,Velocityand Acceleration ByTonyFarah Distance(Displacement)▪Distancecanbedefinedasthedifferencebetweenpointaandpointbasafunctionoftime ▪Anexamplewouldbethatabaseballishitandfallsjustshyofhomerun ▪The...
Calculus using Distance, Velocity and Acceleration微积分的使用距离,速度与加速度共27页 CalculususingDistance,Velocityand Acceleration ByTonyFarah Distance(Displacement)Distancecanbedefinedasthedifferencebetweenpointaandpointbasafunctionoftime Anexamplewouldbethatabaseballishitandfallsjustshyofhomerun The...
对于position vector(x(t),y(t)),则(x′(t),y′(t))和(x″(t),y″(t))则分别为velocity vector和acceleration vector。而判断往左还是往右走则看x′(x)的符号,而上下方向则为y′(x)符号。 导数的解释则为 the rate of change of ... ...
Unit 1: Limits and Continuity You’ll start to explore how limits will allow you to solve problems involving change and to better understand mathematical reasoning about functions. Topics may include: How limits help us to handle change at an instant ...
Acceleration is an important concept in physics: it’s therate of changein velocity over time. In other words, it tells you how much the velocity iscreasing, or decreasing. Is the object speeding up? Slowing down? Moving at a constant speed in a straight line? If you’ve ever been in...
Calculus using Distance, Velocity and Acceleration微积分的使用距离,速度与加速度27页PPT CalculususingDistance,Velocityand Acceleration ByTonyFarah Distance(Displacement)Distancecanbedefinedasthedifferencebetweenpointaandpointbasafunctionoftime Anexamplewouldbethatabaseballishitandfallsjustshyofhomerun The...
Describe position, velocity, speed and acceleration; compute arc length of parametric curves; arc length parametrization. Limits, continuity and differentiability for functions of several variables. Theory, geometric intuitions, and lots of problem solving. Several variants of the Chain Rule, involving ...
Absolute maximum and minimum:绝对极大与极小 Absolute value:绝对值 Absolute value function:绝对值函数 Acceleration:加速度 Antiderivative:反导数 Approximate integration:近似积分 Approximation:逼近法 Arc length:弧长 Area:面积 Asymptote:渐近线 Average speed:平均速率 Average velocity:平均速度 Axes, coordinate:坐...