What was his velocity when he began accelerating ?

AI Thread Summary
To determine the initial velocity of a runner who accelerates to 4.15 m/s in 1.5 seconds with an average acceleration of 0.640 m/s², the equation V_final = U_initial + at can be rearranged. The acceleration contributes to the increase in velocity over the time period. By calculating the increase in velocity (X) using the acceleration and time, the initial velocity can be found. This discussion emphasizes understanding the relationship between final velocity, initial velocity, and acceleration. The forum encourages users to engage with the concepts rather than seek direct answers.
veena
Messages
7
Reaction score
0
A runner accelerates to a velocity of 4.15 m/s due west in 1.5 s.His average acceleration is 0.640 m/s also directed to the west . What was his velocity when he began accelerating ?
 
Last edited by a moderator:
Physics news on Phys.org
You can use the equation:

V_{final} = U_{initial} + at

Where:
V = Final Speed
U = Initial Speed
a = Acceleration (use your average acceleration)
t = Time across which the acceleration is applied

I will help you rearrange the equation if you need, but as the sticky suggests, this forum isn't here to give you homework answers, and most of the official PF helpers here will use an analogous equation to help guide you.

EDIT: Whoops got the equation a bit messed up there.
 
Last edited:
yea but how ... thanks for ur help?
 
Well acceleration speeds things up, reguardless of their initial velocity, in the equation, U is the initial velocity, and "at" is the amount the original velocity has increased by to get to the final velocity, acceleration multiplied by time equals the velocity increase, so the equation technically is

V_{final} = U_{initial} + X_{increase}​

Where "X" is the amount the initial speed has increased by to reach the final speed.
 
Last edited:
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