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[DOC File]Definition of Derivative Worksheet
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a) the instantaneous velocity when t = 0. b) the instantaneous velocity when t = 1. c) the instantaneous velocity when t = 2. d) Now find the average velocity from t = [0,2]. (this is an easy calculation) e) Compare the 3 instantaneous velocities with the average velocity you found. f) Graph the original function on your calculator.
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[DOC File]First exam practice sheet
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Calculator (no TI-89 or 92) Sample problems. The graph of is drawn below. Sketch the graph of If , find . Write a formula for a linear function with slope 1.4, passing through the point . ... Draw the tangent line whose slope is this instantaneous velocity.
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[DOC File]template
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The calculator draws a tangent line and gives you the value of dy/dx (on a TI-82) or the equation of the line (on a TI-83). Either way, the derivative or the slope yields the instantaneous velocity at that time. You can draw as many as 6 tangents to the curve (by repeating step 3) w/o getting too confused.
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[DOC File]Calculations for Penetration Model - Rathcoombe
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Elastic Limit Velocity. Determines the lower limit of rigid body penetration based on the dynamic pressure of the projectile (assumes a blunt shape). Elastic limit is the velocity at which the dynamic pressure equals the yield stress of the target material. vEL = [ 2 σt / ρp ]1/2 Permanent Cavity Diameter
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[DOC File]Introduction to Tangent Lines using TI-Nspire CAS
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The velocity of a particle is defined to be the rate of change in position with respect to time. Specifically, instantaneous velocity at any time is given by the equation . The acceleration of a particle is defined to be the rate of change in velocity with respect to time. Specifically, instantaneous acceleration at any time is given by the ...
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[DOC File]Pinecrest Preparatory Academy Charter High School
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Nov 27, 2012 · Is it possible to find instantaneous speed by measuring distance and time? Explain. During a certain trip, a car traveled at an average speed of 75 km/hr. Would it be possible to attain such an average speed if the car never had an instantaneous speed of more than 75 km/hr? Explain. Information: Velocity
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[DOC File]Calculus - Steelton-Highspire High School
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The instantaneous velocity is the derivative of the position function with respect to time. At time t the velocity is. Definition. 3: Speed: ... She stores the data in her graphing calculator and uses it to generate the time-velocity graph shown below. Describe her motion as a function of time by reading the velocity …
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[DOC File]Speed, Velocity, Distance, and Displacement Practice Test
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speed calculator constant speed displacement. average speed calculator vector quantity scalar quantity instantaneous speed 1._____ - the speed at a specific instance of time 2. _____ - the distance traveled in a given amount of time
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[DOC File]Section 1
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Thus, is the instantaneous rate of change of y = f(x) at x = a. In particular, if y = f(x) is the position of an object at time x, is the average velocity and is the instantaneous velocity at x = a. Examples: 1. Find the instantaneous velocity at time t = 3 seconds if the …
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[DOC File]Practice Problems: Speed, Velocity, and Acceleration
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Velocity – Speed in a given direction. Frame of reference – A background used to judge motion or speed. Instantaneous Speed – Speed at a given moment in time. Speed – amount of distance traveled in a certain amount of time. Average Speed – total distance divided by total time. Time-Distance Graph – graph that shows speed of an object
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Instantaneous velocity calculator