the displacement of Y in metre of a body varies with time t in second as y equal to 30 square - 40 + 6 how long does the body take to come to rest
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Answer:
The displacement is given as: y=ut+
2
1
at
2
where, u is the initial velocity and a is the acceleration.
Comparing with given expression: y=16t−2t
2
/3+2,
u=16m/s, a=−
3
4
m/s
2
As, v=u+at, where v is final velocity.
Taking v=0, the time taken for body to come to rest.
0=16−
3
4
t⇒t=12 sec
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