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In the graph, during which time period does the particle undergo the greatest displacement?

Verified Answer :

)
5
-5
1 2 3
4
5
Other than at t = 0, when is the velocity of
the object equal to zero?

  1. 5.0 s
  2. 4.0 s
  3. 3.5 s
  4. At no other time on this graph. correct
  5. During the interval from 1.0 s to 3.0 s.

Explanation:
Since vt =
Z t
0
a dt, vt
is the area between
the acceleration curve and the t axis during
the time period from 0 to t. If the area is above
the horizontal axis, it is positive; otherwise, it
is negative. In order for the velocity to be zero
at any given time t, there would have to be
equal amounts of positive and negative area
between 0 and t. According to the graph, this
condition is never satisfied.
005 (part 1 of 1) 0 points
Identify all of those graphs that represent motion
at constant speed (note the axes carefully).

At

x

Bt

v

Ct

a

Dt

v

Et

a