Answer:
210 m
Explanation:
Given:
a = -6.8 m/s²
v₀ = 54 m/s
v = 0 m/s
Find: Δx
v² = v₀² + 2aΔx
(0 m/s)² = (54 m/s)² + 2 (-6.8 m/s²) Δx
Δx ≈ 210 m
Potential energy = (mass) x (gravity) x (height)
1 joule = (1,000 kg) x (9.8 m/s²) x (height)
Height = 1 joule / (9,800 newtons)
= 1/9800 meter
= 0.000102 meter
= 0.102 millimeter (rounded)
Use F=ma to solve for a=0.25m/s^2. Now to get distance you need to integrate this twice to get
x=(1/2)at^2. Plug in a and t to get
x=2m
