Weight of the object = 35 lbs
F = ma
m = F/a = 35/32 (with acceleration of 32 ft/s²)
m= 1.09
Again applying the same formula,
a = F/m
a= 6/1.09
a= 5.489
Thus, the acceleration is approximately 5.5 ft/s²!!
The maximum depth at which he could still breathe, given the pressure of -74 mm Hg, equates to 0.98 m. Pressure of -74 mm Hg translates to 9605 Pa or 9709 N/m². With the density of water set at 1000 kg/m³, we can utilize the pressure equation P = rho g h to determine h, deriving that h = 0.98 m.
The result is 15.67 seconds. Using the first equation of motion, we have: Final Velocity = Initial Velocity + (Acceleration * Time). This translates mathematically to v = u + at. Now, plugging in our values: v = 3, u = 50, and a = -4 (indicating negative acceleration). We find that 3 = 50 + (-4 * t) leads to -47/-4 = t, giving us a time of 15.67 seconds.
