A race car accelerates uniformly from 19.5 m/s to 50.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

12.4m/s²; 80.99m

Explanation:

Acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time. Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

Given the following data;

Initial velocity = 19.5m/s

Final velocity = 50.1m/s

Time = 2.47 secs

Substituting into the equation;

Acceleration, a = 12.4m/s²

Solving for the distance covered;

Substituting into the values into the equation;

S = 80.99m

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