Kinematics and variable acceleration questionWatch

Announcements
#1
An object falls through a fluid so that the distance fallen, in metres, at time t seconds is given by s=40(4e^(-t/4) + t - 4). Find the initial and terminal speeds of the object.
0
5 years ago
#2
(Original post by firsedge)
An object falls through a fluid so that the distance fallen, in metres, at time t seconds is given by s=40(4e^(-t/4) + t - 4). Find the initial and terminal speeds of the object.
Initial speed will be when t=0.
Terminal speed is the limiting value as t tends to infinity.
0
5 years ago
#3
(Original post by firsedge)
An object falls through a fluid so that the distance fallen, in metres, at time t seconds is given by s=40(4e^(-t/4) + t - 4). Find the initial and terminal speeds of the object.

Find the value of that when t goes to infinity
0
5 years ago
#4
(Original post by firsedge)
An object falls through a fluid so that the distance fallen, in metres, at time t seconds is given by s=40(4e^(-t/4) + t - 4). Find the initial and terminal speeds of the object.
the speed is the derivative of distance w.r.t. time.

So differentiate the function to get ds/dt (which is speed). Then look at what happens when you let t go to infinity (that's the terminal speed, ie the speed it reaches when time tends to infinity)
0
#5
Thats great thanks guys!
0
X

new posts
Latest
My Feed

Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

University open days

• Arts University Bournemouth
Art and Design Foundation Diploma Further education
Sat, 25 May '19
• SOAS University of London
Wed, 29 May '19
• University of Exeter
Thu, 30 May '19

Poll

Join the discussion

How did your Edexcel GCSE Maths Paper 1 go?

Loved the paper - feeling positive (536)
26.39%
The paper was reasonable (884)
43.53%
Not feeling great about that exam (397)
19.55%
It was TERRIBLE (214)
10.54%