Question

Derive equation describing the relation between displacement and time by
graphical method.​

Answer 1

Explanation:

Equation for Velocity-Time relation by graphical method: First equation of Motion. Let an object is moving with uniform acceleration. ... Draw a line parallel to x-axis DA from point, D from where object starts moving. Draw another line BA from point B parallel to y-axis which meets at E at y-axis.

Answer 2

Answer:

SoluTion:

We know that, velocity is given by rate of change of position with respect to time.

v = dx/dt

→ vdt = dx

Here, v is not independent of time. So we'll use first equation of motion and replace v to u + at.

→ (u + at)dt = dx

Integrating LHS and RHS, from limits zero to t and xo to x respectively.

→  

→ ut + 1/2 at² = (x - xo)

Hence, our required expression is :

→  

Explanation:

hope u understand ⊕⊕⊕⊕$\alpha$