Question

Which of the equation is derived from the sum of the areas of rectangle and triangle under v-t graph for uniform acceleration?

Options

• s = ut + \[\frac {1}{2}\]at²

• s = \[\frac{(v+u)}{2}\cdot t\]

• v = u + at

• v² - u² = 2as

Answer 1

s = ut + \[\frac {1}{2}\]at²

Explanation:

The total area under the v-t graph, which is a trapezium broken down into a rectangle (area = ut) and a triangle (area = 1/2 * base * height = 1/2 * t * (v-u)).