The three quantities are: acceleration, initial velocity and time
1. Acceleration
We can find the acceleration using Newton's Second Law of Acceleration:
F = ma
(8,000 N) = (70 kg)(a)
Solving for a,
a = 114.286 m/s²
2. Initial Velocity
For this quantity, we use the equation for rectilinear motion at constant acceleration.
2ax = |v² - v₀²|
where
x is the distance
v is the final velocity
v₀ is the initial velocity
2(114.286 m/s²)(0.60 m) = |0² - v₀²|
Solving for v₀,
v₀ = 11.71 m/s
3. Time
We can determine time fro the formula of acceleration:
a = |v - v₀|/t
114.286 m/s² = |0 - 11.71|/t
Solving for t,
t = 0.102 seconds