# The velocity of an object reduces from 16 m/s^2 to 18m/s^2 covers a distance of 40m. How will it take to come in rest? What more distance will it cover before it comes to rest.

1
by Sangati
given velocity acceleration numbers are not correct ??
are you sure it's velocity not Accl. because the units are of acceleration. plz confirm the Q. once again
the body will never come to rest according to your question

2014-08-22T23:32:15+05:30

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We assume that velocity is changed from 18m/s to 16m/s.  The question has to be corrected.

V² - u² = 2 a S
16² - 18² = 2 a 40
a = - 0.85 m/sec²
time duration for reducing speed from 18 to 16 m/sec² :
( v - u )/ a  =  (16 - 18) / -0.85 = 2.35 sec

final velocity = v = u + at            0 = 16 - 0.85 t
t = 16/0.85 = 18.82 sec

Total time to come to rest from 18 m/sec speed :  2.35+18.82 sec

thanks & u r welcome
how can it be the velocity is not decreasing but increasing ???