Question

1. k10q3

points: 0/1
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consider the velocity-time graph below. determine the acceleration of the object whose motion is represented by the graph. (if negative, then enter a negative answer.)
velocity (m/s)
time (s)
acceleration
m/s/s
info attempts: 4/∞
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Explanation:

Step1: Recall acceleration formula

Acceleration $a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{t_f - t_i}$

Step2: Identify graph values

Initial: $v_i=0\ \text{m/s}, t_i=0\ \text{s}$; Final: $v_f=-15\ \text{m/s}, t_f=6\ \text{s}$

Step3: Calculate acceleration

$a = \frac{-15 - 0}{6 - 0} = \frac{-15}{6} = -2.5$

Answer:

$-2.5\ \text{m/s}^2$