The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4.9 10.9 17.1 24.5 (a) Find the average velocity for each time period. (i) [1, 3] m/s (ii) [2, 3] m/s (iii) [3, 5] m/s (iv) [3, 4] m/s (b) Estimate the instantaneous velocity when t = 3. m/s

The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4.9 10.9 17.1 24.5 (a) Find the average velocity for each time period. (i) [1, 3] m/s (ii) [2, 3] m/s (iii) [3, 5] m/s (iv) [3, 4] m/s (b) Estimate the instantaneous velocity when t = 3. m/s

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

The table shows the position of a cyclist.

t (seconds)	0	1	2	3	4	5
s (meters)	0	1.6	4.9	10.9	17.1	24.5

(a) Find the average velocity for each time period.

(i)    [1, 3]
m/s

(ii)    [2, 3]
m/s

(iii)    [3, 5]
m/s

(iv)    [3, 4]
m/s

(b) Estimate the instantaneous velocity when t = 3.
m/s

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