The acceleration of a particle is defined by the relation a = k√v, where k is constant.
Knowing that
x = 0 and v = 81 m/s at t = 0
and v = 36 m/s x = 18 m
determine
(a) the velocity of the particle when x = 24 m
(b) the time required for the particle to come to rest.
you know a = dv/dt . it can also be written as dv/dx * dx/dt. where x is the distance. so your dx/dt is nothing but v. To sum up. a = v*dv/dx = ksqurt(v). Now you can integrate it . the limits for x are 0 to 18. and v are 81 to 36. becareful with the signs. after ur done . you get the value of k. and also u get the equation of velocity vrs distance.
a)substitute x = 24 , in the quation and u will get the velocity.
b) you know velocity = dx/dt. intergrate it , u will get the time.
Best Answer
its okay.
Best Answer
Related Questions

I need help because i dont know how to do these 2 problems that are for a test this week Send me email if you can help meluisito196 1821, M 0 Feb 25 in Community

A point particle of mass m sits at rest on top of a frictionless hemisphere of mass M, which rests on a frictionless table. The particle is given a tiny kick and slides down the...awasadaorang 2630 5 Answers 2 Apr 22, 2012

a skier descending a mountain at an angle of 12 degrees. if the skier descends at a constant speed through the mountain. which is the coefficient of kinetic friction between the...luisito196 1821, M 2 Answers 0 Mar 17 in Community

i just found out i got this. :( i have had it ever since i fainted because i found out i had to have a blood test. i'm scared, our class has started science, i'm studying health in...puppylover132 1315, F 3 Answers 2 Apr 23, 2013 in Health

I have a sony ericsson, Z750i. I try to transfer pictures from my computer. It does that, but some pictures are saved in wierd places, some end up there a few times, they are all...amz10101 1617, F 1 Answer 1 Jan 8, 2009

LRRW 70+, F 1 Answer 1 Jan 20, 2010

I have had a under active thyroid for a few years and the prescribed meds hasnt helped me. I need something natural. I am totally falling apart. TYloveonly1 3640, F 8 Answers 2 Apr 22, 2010

Anto815 4650, F 2 Answers 1 Dec 7, 2010

Zebzz 5155, M 2 Answers 2 Feb 23, 2012

I can usually remember everything, but now my memory is getting worse by the day, please help me