The table shows the position of a motorcyclist after accelerating from rest.t (seconds)(1) [2, 4]() [3, 4](i) [4, 5]0(iv) [4, 6]ft/ss (feet) 0(a) Find the average velocity (in ft/s) for each time period.ft/sft/s1ft/s234.9 10.7 23.2450.35109.46237.6.(b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.)ft/s

Introduction: In contrast to instantaneous velocity, which is determined by the slope of the tangent…

Answered: The table shows the position of a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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4. As a tornado moves, its speed increases. The function S(d) = 93 log d + 65 a) Graph this function. b) Calculate the average rate of change for the speed of the wind at the centre of a tornado from mile 10 to mile 100. c) Estimate the rate at which the speed of the wind at the centre of a tornado is changing at the moment it has travelled its 10th mile and its 100th mile. d) Use your graph to discuss how the rate at which the speed of the wind at the centre of a tornado changes as the distance that the tornado travels increases.
100 The brain mass of a human fetus during a particular trimester can be accurately estimated from the circumference of the head by m(c) = and c is the circumference (in centimeters) of the head. a. Estimate the brain mass of a fetus that has a head circumference of 20 cm. b. Find the rate of change of the brain mass for a fetus that has a head circumference of 20 cm and interpret your result. a. The brain mass of a fetus that has a head circumference of 20 cm is about (Type an integer or decimal rounded to two decimal places as needed.) C3 g. 1500 c 9 where m(c) is the mass of the brain (in grams)
Estimate the value of the quantity. Joe wants to find out how far it is across the lake. His boat has a speedometer but no odometer. The table shows the boats velocity at 10 second intervals. Estimate the distance across the lake using right-end point values. Time|Velocity (sec) (ft/sec) 10 12 20 30 30 56 40 53 50 58 60 55 70 58 80 48 90 15 100 O 3850 ft 385 ft O 5800 ft O 3950 ft
The position of a car is given by the values in the table. t (seconds) 0 s (feet) 1 3 4 5 0 10 32 70 119 178 Find the average velocity for the time period beginning when t = 2 and lasting (1) 3 seconds, (2) 2 seconds, (3) 1 second (Using the graph, one can estimate the instantaneous velocity when t = 2 to be about 28 ft/s.) (1) 59 ft/s (2) 28 ft/s (3) 28 ft/s ...

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The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet) 0 4.9 10.7 23.2 (a) Find the average velocity (in ft/s) for each time period. (1) [2, 4] (0) [3,4] 0 ft/s ft/s 1 2 3 4 50.3 5 a 109.4 237.6