## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

(a) $x = 6.0~m$ (b) $v = 4.0~m/s$ (c) $a = 2.0~m/s^2$
(a) The area between the velocity versus time graph and the x-axis is equal to the displacement. $\Delta x = 4.0~m$ $x = x_0+\Delta x$ $x = 2.0 + 4.0~m$ $x = 6.0~m$ (b) We can read the value of the velocity directly from the graph. Therefore, $v = 4.0~m/s$ (c) The acceleration is equal to the slope of the velocity versus time graph. Therefore, $a = \frac{6.0~m/s}{3.0~s} = 2.0~m/s^2$