slope of the tangent line to the curve at P(0.5, 0). (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(0.5, 0). (d) Sketch the curve, two of the secant lines, and the tangent line. 5. If a ball is thrown into the air with a velocity of 40 ft/s, its 16t2. height in feet t seconds later is given by y 40t (a) Find the average velocity for the time period beginning when t 2 and lasting (i) 0.5 seconds (iii) 0.05 seconds (b) Estimate the instantaneous velocity whent= 2. (ii) 0.1 seconds (iv) 0.01 seconds 6. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t seconds later is tde given by y 10t 1.86t2. (a Find the average velocity over the given time intervals:

slope of the tangent line to the curve at P(0.5, 0). (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(0.5, 0). (d) Sketch the curve, two of the secant lines, and the tangent line. 5. If a ball is thrown into the air with a velocity of 40 ft/s, its 16t2. height in feet t seconds later is given by y 40t (a) Find the average velocity for the time period beginning when t 2 and lasting (i) 0.5 seconds (iii) 0.05 seconds (b) Estimate the instantaneous velocity whent= 2. (ii) 0.1 seconds (iv) 0.01 seconds 6. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t seconds later is tde given by y 10t 1.86t2. (a Find the average velocity over the given time intervals:

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter6: Equations

Section: Chapter Questions

Problem 1RP

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Question

This is a problem about average velocity. Please see the picture and problem #5

Thanks

slope of the tangent line to the curve at P(0.5, 0).
(c) Using the slope from part (b), find an equation of the
tangent line to the curve at P(0.5, 0).
(d) Sketch the curve, two of the secant lines, and the
tangent line.
5. If a ball is thrown into the air with a velocity of 40 ft/s, its
16t2.
height in feet t seconds later is given by y 40t
(a) Find the average velocity for the time period beginning
when t 2 and lasting
(i) 0.5 seconds
(iii) 0.05 seconds
(b) Estimate the instantaneous velocity whent= 2.
(ii) 0.1 seconds
(iv) 0.01 seconds
6. If a rock is thrown upward on the planet Mars with a
velocity of 10 m/s, its height in meters t seconds later is
tde
given by y 10t 1.86t2.
(a Find the average velocity over the given time intervals:

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