Question

The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:

d = 0.04v + 1.1v
What is the stopping distance for a velocity of 10 miles per hour?
a. 10 ft
b. 7 ft
c. 15 ft
d. 13 ft

Answer 1

Note: The must be
`0.04v^2` instead of
`0.04v`.

Given:

The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:

`d=0.04v^2+1.1v`

To find:

The stopping distance for a velocity of 10 miles per hour.

Solution:

We have,

`d=0.04v^2+1.1v`

where, d is stopping distance and v is velocity.

Substitute v=10 in the given equation to find the stopping distance for a velocity of 10 miles per hour.

`d=0.04(10)^2+1.1(10)`

`d=0.04(100)+11`

`d=4+11`

`d=15`

So, the stopping distance for a velocity of 10 miles per hour is 15 ft.

Therefore, the correct option is c.