Derive the equation of motion
`x=v_0t+1/2at^2` using appropriate graph.

Derive the equations s=ut+1/2at^(2) using graphical method where the terms have their usual meaning .

(a) Write a equation of motion in different states and derive the relation : s=u+(1)/(2)a(2t-1) Where, s is the distance covered in t^("th") second, u is initial velocity and a is uniform acceleration.

The x-t equation is given as x=2t+1 . The corresponding v-t graph is

The equation of motion of a particle is x=a " cos"(alpha t)^(2) . The motion is

An ideal gaseous sample at initial state I (P_0, V_0, T_0) is allowed to expand to volume 2V_0 using two different process, in the first process the equation of process is PV_2=K_1 and in second process the equation of the process is PV=K_2 .Then

Find the derivative of "sin x \ a t\ x"=0.

Which law is signified by the equation : V_t = V_0 (1+ t/273) State the law in a different manner.

Solve the equation by using the general expression for roots of a quadratic equation: x^2 +x/sqrt(2)+1=0

Solve the equation by using the general expression for roots of a quadratic equation: x^2+x+1/sqrt(2) =0

Solve the equation by using the general expression for roots of a quadratic equation: 2x^2-sqrt(3)x+1=0