Question

214 Sketch a velocity - time graph
for the motion of the body.
step, calculate total distance
54
From the graph explaining each
Unit 2: Kinematics
3
covered by the body.
SMS​

Answer 1

Explanation:

The shaded area is representative of the displacement during from 0 seconds to 6 seconds. This area takes on the shape of a rectangle can be calculated using the appropriate equation.

The shaded area is representative of the displacement during from 0 seconds to 4 seconds. This area takes on the shape of a triangle can be calculated using the appropriate equation.

The shaded area is representative of the displacement during from 2 seconds to 5 seconds. This area takes on the shape of a trapezoid can be calculated using the appropriate equation.

The method used to find the area under a line on a velocity-time graph depends upon whether the section bound by the line and the axes is a rectangle, a triangle or a trapezoid. Area formulas for each shape are given below.

Rectangle Triangle Trapezoid

Area = b • h Area = ½ • b • h Area = ½ • b • (h1 + h2)