$(i)$ What can be depicted from the graph regarding the motion of the object?
$(ii)$ Find the value of acceleration from the graph.
$(ii)$ Find the value of acceleration from the graph.
(N/A) $(i)$ The graph shows a straight line with a negative slope,which indicates uniform retardation (deceleration) of the object.
$(ii)$ Acceleration $(a)$ is given by the slope of the velocity-time graph.
$a = \text{Slope} = \frac{v_2 - v_1}{t_2 - t_1}$
From the graph,at $t_1 = 0 \text{ s}$,$v_1 = 50 \text{ m s}^{-1}$ and at $t_2 = 40 \text{ s}$,$v_2 = 0 \text{ m s}^{-1}$.
$a = \frac{0 - 50 \text{ m s}^{-1}}{40 - 0 \text{ s}} = \frac{-50}{40} \text{ m s}^{-2} = -1.25 \text{ m s}^{-2}$
$(ii)$ Acceleration $(a)$ is given by the slope of the velocity-time graph.
$a = \text{Slope} = \frac{v_2 - v_1}{t_2 - t_1}$
From the graph,at $t_1 = 0 \text{ s}$,$v_1 = 50 \text{ m s}^{-1}$ and at $t_2 = 40 \text{ s}$,$v_2 = 0 \text{ m s}^{-1}$.
$a = \frac{0 - 50 \text{ m s}^{-1}}{40 - 0 \text{ s}} = \frac{-50}{40} \text{ m s}^{-2} = -1.25 \text{ m s}^{-2}$
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