Being 10 miles apart, two cars started moving towards each other. after one hour they met, and during that time the first car covered 2 miles more than the second car. what was the speed of the first car?

The speed of the first car was 6 miles/hour

Acceleration is rate of change of velocity.

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem!

Given:

Distance between two cars = d = 10 miles

Time Taken = t = 1 hour

Distance covered by the first car = d₁ = 2 + d₂

Unknown:

Speed of the first car = v₁ = ?

Solution:

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle

The speed of the first car is and the speed of the second car is

Further explanation:

The formula of the speed can be expressed as follows,

The formula of the time can be expressed as follows,

Given:

The distance between the two cars is

The first car covered 2 miles more than the second car.

Explanation:

Consider the speed of the second car be “”.

Consider the speed of the first car be “”.

The distance covered by the first car in one hour is

The distance covered by the second car in one hour is

The total distance covered by two cars is

The speed of the second car is

The speed of the first car can be obtained as follows,

The speed of the first car is and the speed of the second car is

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Speed and Distance

Keywords: 10 miles, speed of first car, speed of the second car, after one hour, moving toward, each other, 2 miles per hour, one hour.