Answer:31.6m/s
Explanation:
Conservation of Energy
mgh+1/2mv^2=mgh+1/2mv^2
The masses cancel out
gh+1/2v^2=gh+1/2v^2
g=10m/s^2
(10m/s^2)(60m)+(1/2)(14m/s)^2=(10m/s^2)(20m)+1/2v^2
600+98=200+.5v^2
698=200+.5v^2
498=.5v^2
v^2=996
v=31.6m/s
Answer:
31.3 m/s
Explanation:
Energy is conserved. The roller coaster starts at the peak with both gravitational potential energy (PE) and kinetic energy (KE). When it reaches the next trough, some of the initial potential energy is converted to kinetic energy.
PE₀ + KE₀ = PE + KE
mgh₀ + ½ mv₀² = mgh + ½ mv²
gh₀ + ½ v₀² = gh + ½ v²
v² = 2g (h₀ − h) + v₀²
v² = 2 (9.8 m/s²) (60.0 m − 20.0 m) + (14.0 m/s)²
v = 31.3 m/s