Question

an objects velocity vs time graph is plotted. what is the objects net displacement?
1 point
write your answer to 3 significant figures in standard decimal form.
____ m
velocity vs. time
velocity (m/s)
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
time (s)

Explanation:

Step1: Identify graph shape and formula

Net displacement = area under velocity-time graph. This graph is a right triangle, so use area formula for a triangle: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

Step2: Substitute values from graph

Base = total time = $15\ \text{s}$, Height = final velocity = $9.5\ \text{m/s}$ (corrected: the final velocity at 15s is 9.5 m/s, matching the graph's scale)
$\text{Displacement} = \frac{1}{2} \times 15 \times 9.5$

Step3: Calculate and round to 3 sig figs

$\text{Displacement} = 71.25 \approx 71.3$

Answer:

71.3 m