Starting from rest, a particle confined to move along a straight line is accelerated at a rate of 5.0 m/s2. which one of the following statements accurately describes the motion of this particle?
a. the particle travels 5.0 m during each second.
b. the particle travels 5.0 m only during the first second.
c. the speed of the particle increases by 5.0 m s during each second.
d. the speed of the particle increases by 5.0 m s2 during each second.

Correct option is (C)

Explanation:

u = 0 m/s

a = 5 m/s^2

(a) Distance traveled by the particle in first second

s = ut + 1/2 at^2

s = 0 + 0.5 x 5 x 1 x 1 = 2.5 m

So, this option is wrong.

(b) As we observe by the part (a) that the particle travels a distance of 2.5 m in first second so, this option is wrong.

(c) The acceleration of the particle is 5m/s^2, it means the speed of teh particle increases by 5 m/s every second. So, this is true.

(d) As we observe by part (c), the speed of the particle increases by 5 m/s every second so this option is wrong.  

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