The velocity of a particle traveling along a straight line is v = vo − ks where k is constant. if s=0 when t=0, determine the position and acceleration of the particle as a function of time.

acceleration of the particle as a function of time is given as

and position of the particle as a function of time is given as

Explanation:

we have given,

at t=0, s=0

therefore initial velocity,u

u=v=

v=u+at.........(1)

we know from first equation of motion

let acceleration at time t be a(t), and position be x(t)

put value of v,u and a in equation 1

we got,

Therefore,acceleration of the particle as a function of time is given as

and position of the particle as a function of time is given as

its a 5.5 n

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