Given total time of given acceleration to get final velocity?

AI Thread Summary
To find the final velocity when acceleration is constant, multiply acceleration by time and add the initial velocity using the formula v = v_0 + a t. For calculating distance, use the average velocity multiplied by total time, which can be derived from the kinematic equations. If acceleration is not constant, integration of acceleration with respect to time is necessary to determine velocity. Understanding these concepts is crucial for solving kinematic problems effectively. This knowledge is essential for exam preparation.
pebbles
Messages
95
Reaction score
0
can i just multiply the acceleration by time to get the final velocity? and then, if i wanted to get distance with the same three variables-time, acceleration, and velocity, would i just multiply velocity by total time i am given?



thanks in advance. I'm trying to clear some things up before my exam on thursday.
 
Physics news on Phys.org
pebbles said:
can i just multiply the acceleration by time to get the final velocity?
If the acceleration is constant:
v = v_0 + a t

and then, if i wanted to get distance with the same three variables-time, acceleration, and velocity, would i just multiply velocity by total time i am given?
The change in displacement will equal average velocity times the time.

Review the kinematic equations here: Basic Equations of 1-D Kinematics

Or here: http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html#mot1
 
what if acceleration isn't constant?
 
You would need to integrate acceleration with respect to time.

v = integrate[a dt]
 
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...
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...
Back
Top