If `s= ut +(1)/(2) at^(2)`, where u and a are constants. Obtain the value of `(ds)/(dt)`.

Given S=ut+1/2at^2 ,where u and a are constant , obtain the value of ds/dt

If s = at^(2) + bt + c find the value of [(ds)/(dt)]_(t=1) .

If (dT)/dt=-K(T-S) where K and S are constants,find T when T(0)=100.

In S=ut+(1)/(2)at^(2) , S=96,t=8 and a=2 , find u.

In s=ut+(1)/(2)at^(2) , if s=16m,t=2 seconds and a=5m//s^(2) , then find the value of u by making u as the subject.

Integrate the following : int_(3)^(6)(u+at)dt where u and a are constants.

Check the accuracy of the relation s = ut + (1)/(2)at^(2) where s is the distance travelled by the with uniform acceleration a in time t and having initial velocity u.

Check The correctness of the following equation using dimensional analysis. Make a comment on it. S = ut + 1//2 "at"^(2) where s is the displacement, u is the initial velocily, t is the time and a is the acceleration produced,