speed of the car at t = 10 s is given as 10 m/s
now at t = 30 s car comes to rest so v = 0
now in this velocity time graph we can say slope will show the acceleration of the car as we know that acceleration is rate of change in velocity
[tex]a = \frac{v_f - v_i}{\Delta t}[/tex]
as we know that
[tex]v_f = 0[/tex]
[tex]v_i = 10 m/s[/tex]
[tex]\Delta t = (30 - 10) = 20 s[/tex]
now from above formula
[tex]a = \frac{0 - 10}{20} = -0.5 m/s^2[/tex]
So slope of the graph will represent the acceleration of car which is 0.5 m/s^2
Actually the correct answer is going to be Linear, sloping downward.
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