Find displacement from a record of travel

AI Thread Summary
The discussion revolves around calculating the total displacement from a record of travel involving three segments: constant acceleration, constant velocity, and constant negative acceleration. The participant initially provided displacement values for each segment but expressed uncertainty about the calculation for the third segment, which involved negative acceleration. A correction was suggested, indicating that the body does not stop during the negative acceleration phase and continues to move at a reduced speed. Accurate calculations for each segment are crucial to determine the correct total displacement for the trip.
tacobeans1234
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Homework Statement



A record of travel along a straight path is as
follows:
(a) Start from rest with constant acceleration of 3.95 m/s
2
for 16.5 s;
(b) Constant velocity of 65.175 m/s for the
next 0.789 min;
(c) Constant negative acceleration of
−10.4 m/s
2
for 3.52 s.
What was the total displacement x for the
complete trip?
Answer in units of m

Homework Equations



I had my physics teacher help me along. I know that you need to find and add all of the displacements, but I still can't seem to get the right answer.

The Attempt at a Solution


I don't remember exactly what I did, but I got these numbers for the displacement for each section of the problem.
a)537.694
b)3085.38
c)-36.608
 
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Part (c) looks off. What did you do to get that answer? BTW, negative acceleration of -10.4m/s2 is a double negative.
 
tacobeans1234 said:

Homework Statement



A record of travel along a straight path is as
follows:
(a) Start from rest with constant acceleration of 3.95 m/s
2
for 16.5 s;
(b) Constant velocity of 65.175 m/s for the
next 0.789 min;
(c) Constant negative acceleration of
−10.4 m/s
2
for 3.52 s.
What was the total displacement x for the
complete trip?
Answer in units of m

Homework Equations



I had my physics teacher help me along. I know that you need to find and add all of the displacements, but I still can't seem to get the right answer.

The Attempt at a Solution


I don't remember exactly what I did, but I got these numbers for the displacement for each section of the problem.
a)537.694
b)3085.38
c)-36.608


Yes part (c) wrong. This body doesn't even stop by that time.

With an initial velocity of 65, and an acceleration of -10, it will have merely slowed to 30 m/s. Use the real numbers to get the real answer.
 
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