Derive the equation for uniform accelerated motion for the displacem
its nth second of its motion. (S = u + a (n - 1/2)) (AS)
tont acceleratie
Answers
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11th
Physics
Motion in a Straight Line
Problems on Equation of Motion
equation for uniform accele...
PHYSICS
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Asked on December 26, 2019 by
Suruchi Kewat
equation for uniform accelerated motion for the displacement covered in its nth second of its motion is?
MEDIUM
Study later
CALCULATOR
Enter the know values to find unknown
Acceleration
Distance
Final Velocity
v = u + a*t
Initial Velocity u
m/s
Final Velocity v
m/s
Time t
s
Acceleration a
m/s²
RESET VALUES
ANSWER
Using equation of motion
s=ut+
2
1
at
2
The distance traveled in n second
s
1
=un+
2
1
an
2
The distance traveled in (n-1) second
s
1
=u(n−1)+
2
1
a(n−1)
2
Now, the distance traveled in n
th
second is
s
n
=s
1
−s
2
s
n
=un+
2
1
an
2
−(u(n−1))+
2
1
a(n−1)
2
)
s
n
=u+a(n−
2
1
)
The equation for uniform accelerated motion for the displacement covered in its nth second of its motion is s
n
=u+a(n−
2
1
).
Hence, The correct option is B
Explanation: