Simplify each of the following
`4st (s -t) - 6s^(2)(t - t^(2)) - 3t^(2) (2s^(2) - s) + 2st(s - t)`

Simplify each of the following expressions: 4st(s-t)-6s^(2)(t-t^(2))-3t^(2)(2s^(2)-s)+2st(s-t)

Simplify (s ^(2) t + t q ^(2)) ^(2) - ( 2 st q) ^(2)

Prove the relation, s_t=u + at - 1/2 a.

If S=(t^(3))/(3)-2t^(2)+3t+4 , then

Starting from rest a particle moves in a straight line with acceleration a = (25 - t^(2))^(1//2) m//s^(2) " for " 0 le t le 5s a = (3pi)/(8) m//s^(2) " for " t gt 5s The velocity of particle at t = 7 s is:

Find the angle between each of the following pair of line: vecr=(2+s)hati+(s-1)hatj+(2-3s)hatk, vecr=(1-t)hati+(2t+3)hatj+hatk

The displacement s of an object is given as a function of time t by the following equation s=2t+5t^(2)+3t^(3) . Calculate the instantaneous velocity of the object at t = 1 s.

If displacement of particle is s=(t^(3))/(3)-(t^(2))/(2)-(t)/(2)+6 , then velocity of the particle at t=4 sec. is

The position of object moving along an x-axis is given by x=3t-4t^(2)+t^(3) , where x is in meters and t in seconds. Find the position of the object at the following values of t : (i) 2s, (ii) 4s, (iii) What is the object's displacement between t = 0 s and t = 4 s ? and (iv) What is its average vvelocity for the time interval from t = 2 s to t = 4 ?