Aspaceship ferrying workers to moon base i takes a straight-line path from the earth to the moon, a distance of 384,000 km. suppose it accelerates at an acceleration 20.2 m/s2 for the first time interval 15.8 min of the trip, then travels at constant speed until the last time interval 15.8 min , when it accelerates at − 20.2 m/s2 , just coming to rest as it reaches the moon.
(a) what is the maximum speed attained?
(b)what fraction of the total distance is traveled at constant speed?
(c)what total time is required for the trip? "

a) v = 19,149.6 m/s

b) f = 95%

c) t = 346.5min

Explanation:

First put all values in metric units:

The equation of motion you need is:

where is the final velocity, a is acceleration and t is time in hours.

Since the spaceship starts from 0 velocity:

Next, you need to calculate the distances traveled on each interval, considering that both starting and final intervals travel the same distance because the acceleration and time are equal. For this part you need the next motion equation:

solving for first and last interval:

Since the spaceship starts and finish with 0 velocity:

Then the ship traveled at constant speed, which means that it traveled:

Which in percentage is 95% of the trip.

to calculate total time you need to calculate the time used during constant speed:

That added to the other interval times:

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.

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