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 entire 10.0 seconds. enter your answer accurate to the second decimal place.

Explanation:

Step1: Split graph into 2 shapes

The graph has a triangle (0-4s) and a rectangle (4-10s).

Step2: Calculate triangle area

Area = $\frac{1}{2} \times base \times height = \frac{1}{2} \times 4.0 \times 12.0 = 24.00$ m

Step3: Calculate rectangle area

Area = $length \times width = (10.0-4.0) \times 12.0 = 72.00$ m

Step4: Sum areas for displacement

Displacement = $24.00 + 72.00$

Answer:

96.00