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Unformatted text preview: sociated with this compression. Do the calculation based on geometry, do not use integral calculus, i.e., start with a graph of the spring force vs displacement ∆x. By Hooke’s law F = −k ∆x, and note that ∆x can be positive or negative. FORMULA SHEET v (tf ) = v (ti ) + ti a(t) dt s(tf ) = s(ti ) + ttif v (t) dt vf = vi + a∆t sf = si + vi ∆t + 1 a∆t2 vf2 = vi2 + 2a∆s 2
tf g = 9.8 m/s2 f (t) = t f (t) = a = 0 F (t) = f (t) dt = at + C F (t) = anti-derivative = indeﬁnite integral area under the curve f (t) between limits t1 and t2 : F (t2 ) − F (t1 ) x2 + px + q = 0 facto...
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