I on this problem, please if someone could look at it and help me out

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The discussion revolves around calculating the average acceleration of an air cart moving along an air track. The initial velocity at T1 is 0.4 m/s and at T2 is 0.9 m/s, leading to an average acceleration of 1.25 m/s² based on the change in velocity over time. Participants clarify that acceleration is defined as the change in velocity divided by time and confirm the formula used. Additionally, there is a query regarding the angle of inclination of the air track related to gravitational acceleration, with the correct approach involving the sine function. The final calculations for the angle require using the inverse sine of the ratio of average acceleration to gravitational acceleration.
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I need help on this problem, please if someone could look at it and help me out!

Suppose you measured the velocity of an air cart twice as it moves along an air track. At T1= 0.2 Sec the velocity is V1= 0.4 m/s.
At T2= 0.6 Sec the velocity is V2= 0.9 m/s.
What is the average acceleration of the cart?
 
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.4/.5 is the difference. if you want acceleration per second, multiple .4 and .5 by 2.5. you should get A = 1.25 m/s. i think lol.
 
What's the definition of acceleration?
 
the change in velocity over time.
 
Average aceleration = Change Velocity / Time
 
miranda82 said:
What is the average acceleration of the cart?
If you understand the definition of acceleration, you should be able to figure out the answer. (And you should also be able to tell whether Gecko's answer is correct. :smile: )
 
i think you are correct, seeing that the formula says that, and it is last minus first.
 
Thank you every one
 
I worked this out but i need advice if i did it correct!
It goes along with the last problem i did!

If the acceleration is due to gravity what is the angle of inclination of the air track?

I did Average acceleration = /G/ SIN Degree

1.25 m/s= /9.8/ SIN Degree

1/sin (9.8)/ (1.25) = -2.18

Is this way off ?
 
  • #10
The relationship between the acceleration and the angle of incline is correct, but your calculation is not.
a = g sin\theta, so sin\theta = a/g = 1.25/9.8 = 0.128. To find the angle, use your calculator to take the inverse sine. (I'll leave that to you.)

Note: The units of acceleration are m/s^2, not m/s.
 
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