Q in instantanous acceleration I want check my answer .

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The discussion focuses on calculating instantaneous acceleration and identifying errors in the calculations presented. The initial answer incorrectly computes instantaneous acceleration, suggesting a value of 35225 m/s, which is challenged by another participant who points out a mathematical error. The second part correctly identifies that instantaneous acceleration is zero due to a straight line, but the reasoning needs clarification. In part c, the correct calculation for acceleration should be framed as a negative change in velocity over the time interval, leading to a value of -7.5 m/s². Overall, the discussion emphasizes the importance of accurate calculations and clear reasoning in physics problems.
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Hi all

1.JPG


Q in instantaneous acceleration ?



https://www.physicsforums.com/attachments/17036



my answer is :



a ) As we know Instanteouse acceleration :

It is the limit of the average acceleration when the time interval to zero



a = changing in v / changing t
3.0-1.5 / 0.8 - 0.4 = 35225 m/s



b )

instantanous acceleration = Zero because it's straight line



c ) here the gragh go down then the ( a ) will by ( - )



a = changing in v / changing t



3.0 - 1.5 / 1.6 - 1.4 = -0.4625



this is my answer I want check
 
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Using your method part a) comes to 1.5/0.4=3.75m/s^2.Your method is right but something went wrong with your maths(used calculator perhaps and pressed wrong buttons?).Please note that you could have used the whole triangle and written a=3/0.8.

You made a similar mistake in part c)

You need to improve on your reasoning for part b).The acceleration is zero because it is a straight line parallel to the time axis,in other words there is no change of velocity.
 
hi thanks

but what are the mistake in part c ?
 
You wrote a=3-1.5/1.6-1.4.It would be clearer if you wrote a=-(3-1.5)/(1.6-1.4)=1.5/0.2=-7.5m/s^2
 
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