1 Dimensional analysis- Time and position

Question

You travel at 60 mile/hour for 3 minutes.Then,you speed up to 80 mile/hour, which took 200 meters. Finally, you come to a stop, which took 1 mile. How much time did this take? How far did you travel?

Answer 1

t = t₁ + t₂ + t₃ d = d₁ + d₂ + d₃

t₁ = 3 min(1 hr/60 min) d₁ = 60 mi/hr * t₁

t₂ = d₂/v₂ d₂ = 200 m(1 mi/1609m) t₂ = d₂/80 mi/hr

d₃ = 1 mile t₃ = d₃/v_avg,3 = 1 mile/ (80/2 mile/hr)

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