Velocity Acceleration and Displacement

AI Thread Summary
The discussion revolves around understanding linear motion, specifically deriving expressions for velocity and acceleration from the displacement equation x = A + Bt³, where A = 3.5 m and B = 2.5 m/s³. To find velocity, the first derivative of the displacement with respect to time is calculated, leading to v(t) = d(x)/dt. Similarly, acceleration is derived as the second derivative, resulting in a(t) = d²(x)/dt². At t = 2.0 s, users are tasked with calculating displacement, velocity, and acceleration values. The conversation emphasizes the relationship between displacement, velocity, and acceleration in kinematics.
Shanice80
Messages
1
Reaction score
0

Homework Statement



Hi am a physics beginner love it but seem to have issues with understanding Linear motion .. Anyway i have a question ..will be glad if could help .
" A car moves along a road in such a way that the distance x ,traveled in a time t ,is given by x=a+bt(to the power 3) where A and B have constant values of 3.5m and 2.5ms-3 respectively .
Derive expressions for the velocity and acceleration as a function of time and calculate the values of displacement ,velocity and acceleration at t=2.0s .
Then draw a rough sketch to show how the velocity and acceleration vary with time..
Thanks ...

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
ok so you know that x=A+Bt3 and you are given A and B, now write down the equation of x with A and B with their respective values.


Shanice80 said:

Homework Equations




How do you find velocity when given displacement as a function of time? (i.e. what is the relation between velocity, displacement and time?

Similar for acceleration.


EDIT: Read up on http://en.wikipedia.org/wiki/Kinematics"
 
Last edited by a moderator:

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Why would this be accelerating positively?
Replies
6
Views
915
Relating acceleration to distance and time
Replies
5
Views
3K
Zero velocity for a time interval, what about acceleration?
Replies
7
Views
2K
Oblique soccer shot calculation task
Replies
38
Views
3K
Solve Angular Velocity & Acceleration - Dimensional Analysis
Replies
3
Views
2K
In a constant acceleration motion, Is it possible to have constant speed?
Replies
11
Views
1K
Deriving an equation for the velocity of a particle
Replies
1
Views
1K
Solving for Time Given Acceleration & Initial Velocity
Replies
3
Views
1K
Velocity, Acceleration and Displacement time graphs.
Replies
30
Views
4K
Initial displacement of a midpoint of a string?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top