hi carhah!

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but dv/ds = ∞ (draw the graph of v against s)

eg, if a is constant, and if s_o = v_o = 0, then s = 1/2 at² and v = at,

so v = √(2as), so dv/ds|_t=0 = √(a/s_o)= √(a/0) = ∞