The relation between velocity and time is given by— U = 4 + 2 `(c_1+ c_2 t)` where, `C_1`and `C_2` are constants. Find out its initial velocity and acceleration.

The velocity v of a particle is related to time t as v = 4+2 (c_(1)+c_(2)t) , where c_(1) and c_(2) are constants . Find out the initial velocity and acceleration.

Displacement (x) and time (t) of a particle in motion are related as x = at + bt^(2) -ct^(3) where a,b, and c, are constants. Velocity of the particle when its acceleration becomes zero is

If the relation between,pressure and temperature is P prop T^C for the adiabatic change, where c = constant, then find out the value of C?

The relation between the time taken and the displacement of a moving body is s = 2t - 3t^(2) + 4t^(3) , where the unit of s is in metre and that of t is in second. Find out the displacement, velocity and acceleration of the body 2s after initiation of the journey.

Acceleration of a body is given by a = 2sqrt(t) , where t is the time. If the body starts from rest what will be its velocity and acceleration 4 s later ? [ SI units are to be used ]

The displacement x of a particle in rectilinear motion at time t is represented as x^(2) = at^(2) +2bt+c , where a ,b, and c are constants. Show that the acceleration of this particle varies (1)/(x^(3)) .

The position vector of a particle is, vecr=3thati-2t^2hatj+4hatk . Find out (i) its velocity vecv and acceleration veca ,

A particle moves along X-axis and its displacement at any time is given by x(t) = 2t^(3) -3t^(2) + 4t in SI units. The velocity of the particle when its acceleration is zero, is

A particle moves in a straight line such that its distance x from a fixed point on it at any time t is given by x=(1)/(4)t^(4)-2t^(3)+4t^(2)-7 Find the time when its velocity is maximum and the time when its acceleration is minimum .