Question

this velocity-time graph depicts the motion of an object. use the graph to determine the displacement (in meters) of the object during the first 4.0 seconds. enter your answer accurate to the second decimal place.

Explanation:

Step1: Identify graph shape (0-4s)

The graph is a right triangle with base $t=4.0\ \text{s}$ and height $v=12.0\ \text{m/s}$.

Step2: Calculate area (displacement)

Displacement = area of triangle: $\frac{1}{2} \times \text{base} \times \text{height}$
$\frac{1}{2} \times 4.0\ \text{s} \times 12.0\ \text{m/s}$

Answer:

24.00