A body covers 10m in the second second and 25m in fifth second of its motion. If the motion is uniformly accelerated, how far will it go in seventh second?
Share
A body covers 10m in the second second and 25m in fifth second of its motion. If the motion is uniformly accelerated, how far will it go in seventh second?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
We know that
Where,
S is the displacement in nth second, a is the acceleration and n is the time and u is the initial velocity.
Displacement in second second:-
Displacement in Fifth second :-
Since,body is uniformly accelerated.
Thus, Both of the accelerations must be equal.
Therefore :-
Hence,
Initial velocity = 2.5 m/sec
Acceleration will be :-
Acceleration = 5 m/sec²
Displacement in 7th second will be :-
Verified answer
It cover 10 m in 2nd second of its Motion
We know
T =Time=2 seconds
S=10 m
It cover 25 m in 5th second
We know
S=25 m
T= Time given=5 seconds
Since it was uniformally accerlating
Accerlation in 2nd second=Accerlation in 5th second
Accerlation=5-u
=5-u
=0 m/s²
Distance travelled in 7th second=35 m