A particle travelling along a straight-line traverses one third of the total distance with a
velocity 
. The remaining part of the distance was covered with a velocity 
for half the time and velocity 
for the other half of the time. Find the mean velocity of the particle averaged over the whole motion of time:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Let the time taken for one third distance be 
, then 
where 
is the total length of the
journey. Let the time taken for next 
distance be 
,
. Thus, the total time taken for the journey
is 
Thus the average velocity 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A car, starting from rest, accelerates at the rate through a distance , then continues at
constan…
A particle moving along -axis has acceleration , at time t, given by , where
and t are constant…
Velocity of a particle changes with position according to following curve. Acceleration of the
part…
A stone starts to fall under gravity. The distances covered by it in first, second and third
second…
On a long horizontally moving belt, a child runs to and fro with a speed (with
respect to the belt…
A ball is dropped from the top of a building. The ball takes 0.5 s to fall past the 3 m length
of w…