Calculating Average Acceleration in an Acceleration Test

AI Thread Summary
To calculate the average acceleration of a car in an acceleration test, the distance between two markers must be converted from kilometers to meters. The initial velocity is 5.0 m/s and the final velocity is 33.0 m/s, with the distance being 0.30 km (or 300 meters). The kinematic equation Vf² = Vi² + 2aav(d) can be rearranged to solve for average acceleration (aav). After correcting the distance unit, the calculations yield aav = 1773.3 m/s², which initially seemed incorrect due to the unit conversion oversight. Proper unit conversion is crucial for accurate results in physics problems.
CraZyFanAtiC
Messages
2
Reaction score
0
Hey, guys just joined PF, was hoping you could help with this questions and in turn maybe i can return the favour (with the little physics knowledge I have).

Homework Statement


In a acceleration test, 2 markers are placed 0.30 km apart. The first car passed the first marked with a velocity of 5.0 m/s [E], the second passed the marker with a velocity of 33.0 m/s [E]. Calculate the Cars average acceleration.


Homework Equations


v1 = 5.0 m/s [E]
v2 = 33 m/s [E]
Delta D = 0.30 km
Aav = ?

The kinematics that i am using is Vf² = Vi² + 2aav(d)

The Attempt at a Solution


The problem i am having is rewriting the equation.
I need to rewrite this for aav.

Vf² - Vi² = Vi² + 2aav(d)

vf² - vi²/2(d) = aav

This is what i have so far, but it must be wrong i just don't see how. When i plug in the numbers..

1089 - 25/2(0.3) = aav
1064/0.6 = aav
aav = 1773.3

this can't be right can anyone help me?
 
Physics news on Phys.org
Hi CraZyFanAtic, welcome to PF.
Convert the distance from kilometer to meter.
 
rl.bhat said:
Hi CraZyFanAtic, welcome to PF.
Convert the distance from kilometer to meter.

O, wow do i feel stupid. First time I've seen a question like that just didn't think about it, thanks alot. Saved me a lot of time.
 

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 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
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

Calculate the Acceleration of this Car
Replies
7
Views
942
Acceleration and velocity problem.
Replies
1
Views
1K
Acceleration with Velocity Problem.
Replies
4
Views
1K
Solving a V-vs-s Problem: John's Quandry
Replies
11
Views
1K
Train Question? Uniform acceleration
Replies
10
Views
3K
Kinematics: Motion in One Direction: Car Chase
Replies
9
Views
3K
Relating acceleration to distance and time
Replies
5
Views
3K
How to find an average acceleration using an average velocity?
Replies
5
Views
1K
Clock, calculate displacement, avg. velocity, avg. acceleration.
Replies
5
Views
3K
Kinematics: find maximum height
Replies
2
Views
4K

Hot Threads

Recent Insights

Back
Top