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QAIPMT-2006-Ph-2457: NEET 2006 Physics - Class 11 AIPMT-2006-Ph-2457 Solution: A particle moves along a straight line OX. At a time t (in…
A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by . How long would the particle travel before coming to rest?
Multiple Choice Options
- A 16 m
- B 24 m
- C 40 m
- D 56 m
Step-by-Step Verified Solution
Given x = 40 + 12t _ t 3
v = d x d t = 12 - 3t 2
When particle comes to rest then v = 0.
_ 12 - 3t 2 = 0
_ t = 2 s
Distance travelled before coming to rest,
s = � 0 2 v d t = � 0 2 ( 12 _ 3 t 2 ) d t
= [ 12 t _ 3 t 3 3 ] 0 2
= 24 - 8 = 16 m