In: Physics
The period of an oscillating particle is 24 s, and its amplitude is 14 cm. At t = 0, it is at its equilibrium position. Find the distances traveled during these intervals. (a) t = 0 to t = 6 s Correct: Your answer is correct. cm (b) t = 6 s to t = 12 s Correct: Your answer is correct. cm (c) t = 0 to t = 3 s Incorrect: Your answer is incorrect. cm (d) t = 3 s to t = 6 s Incorrect: Your answer is incorrect. cm
Here the time period (
)of oscillation is
=24s
we can determine the angular frequency
,

where
is the angular
frequency,
is the time period;
substituting the values we get
distance travelled (
)of an oscillating
particle =
where
is angular
frequency,
is amplitude of
oscillation,
is time.
Distance travelled when
, =
Distance travelled when 

similarly distance travelled when 

similarly distance travelled when
=
a)Distance travelled between time t=0 to t=6, 
b) Distance travelled between time t=6 to t=12,
c)Distance travelled between time t=0 to t=3,

d)Distance travelled between time t=3 to t=6,