How Do You Calculate the Total Displacement of a Car Accelerating Uniformly?

AI Thread Summary
To calculate the total displacement of a car accelerating uniformly, first, the initial speed (11.3 m/s) and final speed (18.5 m/s) are established, along with the time of acceleration (45 seconds). The acceleration is calculated as 0.16 m/s². The displacement during the acceleration phase is found using the equation v² = v₀² + 2a(x - x₀), resulting in a value of 670.5 meters. However, the total displacement for the entire trip, including the initial cruising phase, is actually 1.52 kilometers, highlighting the importance of considering all phases of motion in the calculation.
intenzxboi
Messages
98
Reaction score
0

Homework Statement



If a car cruises at 11.3m/s for 75s, then uniformly speeds up until, after 45s, it reaches a speed of 18.5 m/s, what is the car's displacement during this motion?

Homework Equations



v(1)=at+v(o)
v^2=v(o)^2 +2a(x-xo)

The Attempt at a Solution



V(o)=11.3
V(1)=18.5
t=45

a=7.2/45=.16

so by plugging in all this values into v^2=v(o)^2 +2a(x-xo) i get 670.5m

But they are telling me the answer is 1.52km
 
Physics news on Phys.org
nm solved it.. its asking for the displacement of the whole trip..

man i hate how the questions are worded in a tricky way.
 
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...

Similar threads

Back
Top