Asemi-trailer is coasting downhill along a mountain highway when its brakes fail. the driver pulls onto a runaway truck ramp that is inclined at an angle of 17.0° above the horizontal. the semi-trailer coasts to a stop after traveling 160 m along the ramp. what was the truck's initial speed?

The velocity is 30.279 m/s

Explanation:

Consider the initial speed of the semi-trailer be v

Then, initial kinetic energy =

According to question, the semi-trailer coast along a ramp, which is inclined at an angle of 170, and to a distance of 160m to stop

Change in vertical position == 46.779m

Final potential energy of semitrailer = mgh

Applying principle of conservation of energy,

= mgh

Solving for v, we get = 2gh = 2*9.8*46.779 = 916.8684

= 916.8684

v = 30.279 m/s

Therefore, the velocity is 30.279 m/s

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

continuous conducting path for current, power supply