Sky divers falls out of a plane at an altitude of 11750 m. How much time in seconds will they pass before they deploy their parachutes?
To find the time it takes for skydivers to reach the ground before deploying their parachutes, you can use the kinematic equation of motion. The equation is:
s = ut + (1/2)at^2
Where:
s = displacement (the height of the fall)
u = initial velocity (0 m/s as skydivers start from rest)
a = acceleration due to gravity (-9.8 m/s^2, taking into account the downward direction)
t = time
We need to rearrange the equation to solve for time (t). The equation becomes:
t = √(2s/a)
Substituting the given values:
s = 11750 m
a = -9.8 m/s^2
t = √(2 * 11750 / -9.8)
Calculating this equation gives us the time it takes for the skydiver to fall before deploying their parachutes.