linear motion

Vivian and Noelle are traveling in opposite directions from their starting point. Noelle is traveling 5mph faster than Vivian. given that the distance between them after 8 hours is 136 miles, determine the velocity of each one of them

Expert Solution

In this question, we let the velocity of Vivian be x mph.

The velocity of Noelle is, therefore: (x+5) mph.

We determine the relative velocity.

For motion in the opposite direction, the relative velocity is given by the sum of the two velocities. Therefore, the relative velocity between Vivian and Noelle becomes:

x+(x+5) = (2x+5)mph

the distance between the two is given by:

8(2x+5) = 16x+40

The distance is: 16x+40

This distance is equal to 136miles.

136 = 16x + 40.

136 – 40 = 16x

96 = 16x

We divide by 16 on both sides to find the value of x

X= 6mph

We, therefore, have the velocity of Vivian as 6mph and that of Noelle as 11mph

the velocity of Vivian is 6mph

the velocity of Noelle is 11mph

joseph irungu answered 2 years ago

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