Calculate the acceleration of josh riding his bicycle in a straight line that speeds up from 4 m/s to 6 m/s in 5 seconds

The acceleration of Josh is 0.4 m/s²

The given parameters;

The acceleration of Josh is calculated as follows;

where;

a is the acceleration

Substitute the given values of the velocities and calculate the magnitude of the acceleration;

Thus, the acceleration of Josh is 0.4 m/s²

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Explanation:

The formula for calculating acceleration is as follows:

where is the final velocity, the initial velocity, an is the time in wich the velocity changed.

For this case:

Thus the acceleration is:

The acceleration of Josh is:

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