1. The problem statement, all variables and given/known data You're at a mission control for a rocket launch, deiciding whether to let the launch proceed. A band of clouds 5.3km thick extends upwards from 1.9km altitude. The rocket will accelerate at 4.6ms^-2 and it isn't allowed to be out of sight for more than 30s. Should the launch be allowed? 2. Relevant equations None. 3. The attempt at a solution Clear skies ranges from y = [0m,1900m] Thick cloud ranges from y = [1900m,7200m] vf^2 - vi^2 = 2a(yf - yi) vf^2 = 2(4.6ms^-2)(1900_ vf = 132.2ms^-1 At the instantaneous moment rocket is at position y = 1900m, vf = 132.2ms^-1 From y = 1900m, vf = 132.2ms^-1 = vi yf - yi = vit + 0.5at^2 yf - yi = 132.2ms^-1 (30s) + 0.5(4.6ms^-2)(30)^2 yf - yi = 6036m [yf - yi] = 6036m > 5300m from t = [0s,30s] Launch should be allowed.