Question
The figure shows the velocity function for motion along a line.
Assume the motion begins with an initial position of
.
Determine the following.
a. The displacement between
and
.
b. The distance traveled between
and
.
c. The position at
.
a. The displacement is
unit(s).
(Simplify your answer. Type an integer or a fraction.)
b. The distance traveled between
and
is
unit(s).
(Simplify your answer. Type an integer or a fraction.)
c. The position at
is
.
(Simplify your answer. Type an integer or a fraction.)
Assume the motion begins with an initial position of
Determine the following.
a. The displacement between
b. The distance traveled between
c. The position at
a. The displacement is
(Simplify your answer. Type an integer or a fraction.)
b. The distance traveled between
(Simplify your answer. Type an integer or a fraction.)
c. The position at
(Simplify your answer. Type an integer or a fraction.)
Ask by Powers Byrd. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The position at
is
units.
Solution
c. The position at
is
.
Explanation:
-
Displacement (
) is the net change in position from to , which is given as units. -
Position at
can be found using the relation: Given that the initial position:
Final Answer:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
If we assume that the velocity function is given graphically and you’re looking for position and distance traveled, you can find the answers with some careful calculations.
To find the position at
, use the formula for displacement, which was already found as
. Since you started from an initial position of
, simply add the displacement to it:
Now, you need to compute the distance traveled. Since the distance involves the total movement regardless of direction, you’ll consider the absolute values of displacement over the interval. You already noted that the distance traveled is
units. Therefore, to wrap it all up:
c. The position at is
units.
c. The position at