Question

The total displacement of the object that exhibits the following motion is

• A. 150 m
• B. 100 m
• C. 75 m
• D. 15 m

Hint:

To find displacement from a velocity-time graph, calculate the area under the curve. For simple shapes like triangles and rectangles, use the standard formulas for area.

Answer 1

The Correct Option is C

The displacement can be found by calculating the area under the velocity-time graph. The graph consists of a triangle and a rectangle, and we can calculate the area of these shapes to determine the displacement. 1. Area of the triangle (with base 15 s and height 10 m/s): \[ \text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 15 \times 10 = 75 \, \text{m} \] Thus, the total displacement is \( 75 \, \text{m} \).