The table shows the position of a motorcyclist after accelerating from rest.t (seconds)s (feet) 0 4.9 10.6 23.1 50.3(i) [2, 4](ii) [3, 4](iii) [4, 5]0(iv) [4, 6](a) Find the average velocity (in ft/s) for each time period.ft/sft/sft/s1ft/s2345109.46237.9(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

Answered: he table shows the position of a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

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Related questions

Question

The table shows the position of a motorcyclist after accelerating from rest.
t (seconds)
s (feet) 0 4.9 10.6 23.1 50.3
(i) [2, 4]
(ii) [3, 4]
(iii) [4, 5]
0
(iv) [4, 6]
(a) Find the average velocity (in ft/s) for each time period.
ft/s
ft/s
ft/s
1
ft/s
2
3
4
5
109.4
6
237.9
(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

Expert Solution

Step 1: Introduction

Given

The table for time and position.

Aim:

a) To find the average velocities in respective interval.

b) The instantaneous velocity of the function at $t equals 3$ .

Concept used:

If the distance covered is $s subscript 1$ in time $t subscript 1$ and $s subscript 2$ in time, $t subscript 2$ , then the average velocity in the interval $open square brackets t subscript 1 comma t subscript 2 close square brackets$ is given by an expression $V subscript avg space equals space fraction numerator s subscript 2 space minus space s subscript 1 over denominator t subscript 2 space minus space t subscript 1 end fraction$ .