Answer:
140 miles
Step-by-step explanation:
Hello
Speed is a physical quantity that expresses the relationship between the space traveled by an object, the time taken for it and its direction,and can be calculate with this equation
(1)
where, d is the distance traveled and t is the time it takes
Now, we have 2 speeds , 40 mph and 60 mph
isolating d from (1)
step 1
find the distance he traveled in light traffic
t=2 hour
v=40 mph
d=v*t
d=40 mph * 2 hours
d=80 miles
step 2
find the distance he traveled in heavy traffic
t=1 hour
v=60 mph
d=v*t
d=60 mph *1hour
d=60 miles
Step 3
add the distances to find the total
D=d1+d2=80 miles +60 miles
D=140 miles
Have a great day
The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is
In this case, we have
<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> ) ==> d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )
<em>y(t)</em> = 5 - 2<em>t</em> ==> d<em>y</em>/d<em>t</em> = -2
and [<em>a</em>, <em>b</em>] = [0, 2]. The length of the curve is then
For this case we have the following quadratic equation:
Where:
By definition, the discriminant of a quadratic equation is given by:
We have to:
Two different real roots
Two different complex roots
Two equal real roots
Substituting the values we have:
So, we have two different complex roots
Answer:
Two different complex roots