PPT-Velocity and Other Rates of Change

Chapter 34 Instantaneous Rates of Change An important goal for this course is to understand not only how to find derivatives for example but also to understand the derivative as a concept Its easy to know how to find the derivative of say . CIS Bangalore Paid Free Total Consumption Period in weeks 11 12 10 14 15 14 20 21 26 12 38 39 CIS Nagpur Nashik Aurangabad Jalgaon Kolhapur Goa Paid Free Total Consumption Period in weeks 10 17 18 15 11 26 27 25 20 45 46 CIS Hyderabad Vizag Paid CIS Bangalore Paid Free Total Consumption Period in weeks 11 12 10 14 15 14 20 21 26 12 38 39 CIS Nagpur Nashik Aurangabad Jalgaon Kolhapur Goa Paid Free Total Consumption Period in weeks 10 17 18 15 11 26 27 25 20 45 46 CIS Hyderabad Vizag Paid Section 3.4a. The difference quotient:. When we let . h. approach 0, we saw the rate at which a function. w. as changing at a particular point . x. …. Definition: Instantaneous Rate of Change. The . Rates of change. Example 1:. Find the rate of change of the Area of a circle with respect to its radius.. Evaluate. the rate of change of A at . r = 5. and . r = 10. .. If . r. is measured in inches and . Average speed. Speed is a . scalar. variable. Unit . = . length over time (m/s. ). Instantaneous velocity. Speed and direction of object at a particular instant in time. Velocity is a . vector. A . vector quantity. is a quantity that has both magnitude and direction. Velocity, acceleration, and force are examples of vector quantities. . A . scalar quantity. is a quantity that has magnitude, but no direction. Time, mass, volume, and speed are examples of scalar quantities.. Describing changes in velocity, and how fast they occur, is a part of describing motion.. How are changes in velocity described?. The rate at which velocity changes is called. . acceleration.. Scientists can perform artificial transmutations by bombarding atomic nuclei with high-energy particles such as protons, neutrons, or alpha particles.. Benjamin Graham. Lecture 12: Money, Exchange Rates, and Interest Rates Benjamin Graham. Housekeeping. New syllabus is posted. 3 Khan academy videos for Friday. Separation of motion in x-and y-direction . Equations for 2-d kinematics at constant acceleration. Projectile motion. Lecture 4: Motion in two dimensions. Velocity. , . .  . Position vector . . Math Textbook Pages . 404-408. Objectives. I can write rates, equivalent rates, and unit rates.. I can use rate, equivalent rates, and unit rates to compare quantities. Writing a rate!. Rate: a comparison of two quantities that have different units. Use . implicit differentiation to find . If. What is a Related Rate?. When working related-rate problems, instead of finding a derivative of an equation y with respect to the variable x, you are finding the derivative of equations with respect to time, a hidden variable . Acceleration is a measure of . the change in velocity per unit of time. When the velocity of an object is changing, it is . accelerating. Negative acceleration: . slowing down. Positive acceleration: . In physics, . velocity . is speed in a . given direction. . . When we say a car travels at 60 km/h, we are specifying its speed. . When we say a car moves at 60 km/h to the . north. , we are specifying its velocity.. Defination. In non-uniform motion,the velocity of a body changes with time . For example, when a train leaves or approaches the platform its velocity changes with time. The change in velocity of an object with time is given by a physical quantity known as acceleration. .