The table gives coordinates of a particle moving through space along a smooth curve. tx y 0 2.1 9.6 3.8 0.5 3.1 7.5 3.4 1.0 4.3 6.2 3.0 1.5 5.3 6.8 2.9 2.0 7.1 7.7 2.6 (a) Find the average velocities over the time intervals [0, 1], [0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to the nearest tenth.) [0, 1]: Vave = [0.5, 1): Vave = [1, 2]: Vave = [1, 1.5]: Vave = (b) Estimate the velocity and speed of the particle at t = 1. (Use the time intervals [0.5, 1] and [1, 1.5] to calculate your answer. Round the speed to two decimal places.) v(1) = |v(1)| =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
icon
Related questions
Question
The table gives coordinates of a particle moving through space along a smooth curve.
y
0 2.1 9.6 3.8
0.5 3.1 7.5 3.4
1.0 4.3 6.2 3.0
1.5 5.3 6.8 2.9
2.0 7.1 7.7 2.6
(a) Find the average velocities over the time intervals [0, 1], [0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to the nearest tenth.)
[О, 1]:
Vave =
[0.5, 1]:
Vave =
[1, 2]:
Vave =
[1, 1.5]:
Vave =
(b) Estimate the velocity and speed of the particle at t = 1. (Use the time intervals [0.5, 1] and [1, 1.5] to calculate your answer. Round the speed to two decimal places.)
v(1) =
|(1)| =
Transcribed Image Text:The table gives coordinates of a particle moving through space along a smooth curve. y 0 2.1 9.6 3.8 0.5 3.1 7.5 3.4 1.0 4.3 6.2 3.0 1.5 5.3 6.8 2.9 2.0 7.1 7.7 2.6 (a) Find the average velocities over the time intervals [0, 1], [0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to the nearest tenth.) [О, 1]: Vave = [0.5, 1]: Vave = [1, 2]: Vave = [1, 1.5]: Vave = (b) Estimate the velocity and speed of the particle at t = 1. (Use the time intervals [0.5, 1] and [1, 1.5] to calculate your answer. Round the speed to two decimal places.) v(1) = |(1)| =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer