Question

Using the concept of distance of time graph drive the reliatio v=u+at????

Answer 1

To Derive: v = u + at (graphically)

Let an object of velocity (u) changes it's velocity to (v) in time (t).

Thus,

• AO = u, (= CD)
• BC = v & (= OE)
• OC = t. (= AD.)

Also let,

• BC ⊥ OX′
• BE ⊥ OY′

Here,

OE = OA + AE

→ BC = CD + BD

→ v = u + BD

→ BD = v - u ...(Eq. N)

We know,

acceleration (a) = (Change in velocity)/(Time taken)

or,

a = (v - u)/(t)

= BD/t

→ BD = at ...(Eq. S)

Thus,

v - u = at

→ v = u + at Hence, Proved...