Figure shows the x coordinate of a particle as a function of time. Find the signs of `v_x and a_x` at `t=t_1`,`t=t_2 and t=t_3`.

Find the derivative of the function g(t) = t^(3) cos t

For particle in SHM, the displacement x of the particle as a function o time t is given as x=A sin (2pi t) . Here x is in cm and t is in second. Let the time taken by the particle to travel from x=0 to x=(A)/(2) be t_(1) and the time taken to travel from x=(A)/(2) to x=A be t_(2) find (t_(1))/(t_(2))

Figure shows the speed versus time graph for a particle. Find the distance travelled by the particle during the time t=0 to t=3s.

Find the points of minima for f(x)=int_0^x t(t-1)(t-2)dt

The x and y coordination of the particle at any time are x=5t - 2t^2 and y =10 t respectively , where x and y are in metres and t in seconds . The acceleration of the particle at t=2s is:

Find the derivative of the function g(t) = ((t-2)/(2t+1)) .

Find the locus of the point (t^2-t+1,t^2+t+1),t in Rdot

Figure shows x-t graph of a particle. Find the Time T such that the average velocity of the particle during the period 0 to T is Zero.