Question

using velocity time graph of a body moving with uniform acceleration and initial velocity obtain the equation for displacement in time t

Answer 1

Explanation:

refer to these attachment the graph is provided and the prove is done accordingly

Answer 2

Answer:

Acceleration is uniform let a .

Velocity

$v = \int \: a \: dt = at + b \\ \: \: \: \: where \: \: b \: \: is \: const. \\ s = \int \: v \: dt \: = a {t}^{2} + bt + c$

So slope of v-t graph will give acceleration and area will give displacement