The jumper's takeoff speed and hang time are equal to 5.50 m/s and 1.12 seconds respectively.
In this scenario, the takeoff speed is the same as the initial velocity of the jumper and it can be calculated by using the third equation of motion. Also, since the motion is against gravity, the acceleration due to gravity will be negative (g = -9.81 m/s²)
V² = U² - 2gS
U² = V² + 2gS
U² = 0² + 2(9.81)(1.54)
U = √30.22
U = 5.50 m/s.
Next, we would calculate the peak time by using the first equation of motion:
V = U - at
0 = 5.5 - 9.81t
9.81t = 5.5
t = 5.5/9.81
t = 0.56 seconds.
Mathematically, the hang time is double the peak time:
Hang time = 2 × 0.56
Hang time = 1.12 seconds.
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