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7. k11q2 points: 0/1 use the velocity-time graph to determine the displ…

Question

  1. k11q2

points: 0/1
use the velocity-time graph to determine the displacement of the object after a time of 4 seconds. indicate the direction using a + or a - sign.
displacement ____ m
info attempts:4/∞
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Explanation:

Step1: Identify graph key values

At $t=4\ \text{s}$, velocity $v=15\ \text{m/s}$; initial velocity $u=0\ \text{m/s}$.

Step2: Calculate displacement (area under line)

Displacement = area of triangle = $\frac{1}{2} \times \text{base} \times \text{height}$
$\text{Displacement} = \frac{1}{2} \times 4\ \text{s} \times 15\ \text{m/s}$

Step3: Compute final value

$\text{Displacement} = 30\ \text{m}$; velocity is positive, so sign is +.

Answer:

+30 m