Velocity - time home work check

AI Thread Summary
The car accelerates from 0 to 30 m/s in 5 seconds, resulting in an acceleration of 6 m/s² and a distance of 75 meters. It then travels at a constant speed of 30 m/s for 15 seconds, with no acceleration, covering 450 meters. Finally, the car decelerates to a stop over 10 seconds, yielding an acceleration of -3 m/s² and a distance of 150 meters. The total distance traveled during the entire motion is 675 meters. The conversion of 30 m/s to km/h is 108 km/h.
jacknjersey
Messages
13
Reaction score
0

Homework Statement



A car accelerates from 0 to 30m s ^-1 in 5.0 seconds, travels at a constant 30m s^-1 for 15.0 seconds and then brakes to a stop in 10.0 seconds.

1) calcualte the acceleration (assumed constant) in each section of the motion.
2) calculate distance travelled
3) what is 30m s^-1 in km/h?

Homework Equations



a= change in velocity / change in time
d(t) = v_0 x t + (a/2)t^2


The Attempt at a Solution



a=(30-0)/5 = 6 m/s
d(t) = 0 x 5 +(6/2_ x 5^2 = 75m

a=(30-30)/15 = 0 m/s^2
d(t) = 30 x 15 + (0/2) x 15^2 = 450m

a=(0-30)/10 = -3m/s^2
d(t) = 30 x 10 + (-3/2) x 10^2 = 150m
 
Physics news on Phys.org
Thanks so much! I'm working so slowly trying to get it right. Thanks again, the feedback is a boost!
 
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