Q.4) If an object starts out at rest and falls a distance of s feet in t seconds, then physical laws imply that s = 16t². Find ∆s/∆t as t changes from t0 to t0 + ∆t.
Use the result to find ∆s/∆t as t changes from:
(a) 3 to 3.5, (b) 3 to 3.2, and (c) 3 to 3.1
(a) t0=3,Δt=3.5−3=0.5t_0=3 , \Delta t=3.5-3=0.5t0=3,Δt=3.5−3=0.5
(b) t0=3,Δt=3.2−3=0.2t_0=3 , \Delta t=3.2-3=0.2t0=3,Δt=3.2−3=0.2
(c) t0=3,Δt=3.1−3=0.1t_0=3 , \Delta t=3.1-3=0.1t0=3,Δt=3.1−3=0.1
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