How many sec. would it take a boat to accelerate from 13 m/s to 26 m/s over a distance of 1.25?

Answer 1

Solution:

1.25 what m ? km? solve for acceleration by the following formula. I am going top assume that the distance is in km because the latter in m seems impossible

V_f² - V_o² = 2 a X , a = V_f² - V_o² / 2 X = (26 m/s)² -(13m/s)² / 2(1250m) = 507 m²/s² / 2.5 m = 0.203 m/s²

with acceleration known, solve for time from equation

V_f = at + V_o , t = V_f - V_o / a = 26m/s -13m/s/ 0.203 m/s² = 64 s = 1 min 4 s