(3) -7 At time t = 0, an object (modelled as a particle) of mass 25 kg is at the point P = measured in metres. It is travelling with velocity -2t v(t) = 6t -1 ms -5(t+ 1)-1 (a) Find the speed of the particle at time t = 5 s. (b) Find the acceleration of the particle and the force applied to it that causes this motion as functions of t. (c) Find the position of the particle as a function of t. (1) IN

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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Topic Video
Question
At time t
0, an object (modelled as a particle) of mass 25 kg is at the point P
3
measured in metres. It is travelling with velocity
-2t
е
v(t) =
6t
ms.
-5(t+ 1)-1
(a) Find the speed of the particle at time t = 5 s.
(b) Find the acceleration of the particle and the force applied to it that causes this motion
as functions of t.
(c) Find the position of the particle as a function of t.
(d) At a certain time, ta, during the motion, the force applied to the particle is
-2.49
F(ta) =
150
N
20
to 2 decimal places. Find the exact value of ta and find the particle's distance to the origin
at this time.
Transcribed Image Text:At time t 0, an object (modelled as a particle) of mass 25 kg is at the point P 3 measured in metres. It is travelling with velocity -2t е v(t) = 6t ms. -5(t+ 1)-1 (a) Find the speed of the particle at time t = 5 s. (b) Find the acceleration of the particle and the force applied to it that causes this motion as functions of t. (c) Find the position of the particle as a function of t. (d) At a certain time, ta, during the motion, the force applied to the particle is -2.49 F(ta) = 150 N 20 to 2 decimal places. Find the exact value of ta and find the particle's distance to the origin at this time.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning