Correct Answer - Option 1 : 36 m
CONCEPT:
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Velocity: The rate of change of displacement of an object is velocity.
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Acceleration: The rate of change of velocity of an object is an acceleration.
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Equations of motion describe the behavior of a physical system in terms of its motion as a function of time.
If an object is moving with constant acceleration 'f', initial velocity 'u', the distance traveled in tth second is given by:
\(s = u + {1\over 2}f (2t-1)\)
s is the distance travelled in tth second.
CALCULATION:
Given f = 8 m/s2; t = 5th s.
Since the object started from rest, so u = 0.
According to the equation of motion:
\(s = u + {1\over 2}f (2t-1)=0+ {1\over 2}\times 8 \times (2\times 5-1)=36m\)
So the correct answer is option 1 i.e. 36 m