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murzikaleks [220]
3 years ago
11

Suppose a punter kicks a football so that the upward component of its velocity is 80 feet per second. If the ball is 3 feet off

the ground when it is kicked, then the height of the ball, in feet, t seconds after it is kicked is given by h(t) = 3 + 80t - 16t2.
a. Find the upward velocity v(t) of the football.
b. How fast is the ball travelling upward 1 second after it is kicked?
c. Find the time when the ball reaches its maximum height.
d. What is the maximum height of the ball?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0
The answer is A
here's my answer
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Find an equation for the perpendicular bisect or of the line segment whose end points are (-2,-4) and (8,2)
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, you must find the midpoint of the segment, the formula for which is

(

x

1

+

x

2

2

,

y

1

+

y

2

2

)

. This gives

(

−

5

,

3

)

as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula

y

2

−

y

1

x

2

−

x

1

, which gives us a slope of

5

.

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of

5

is

−

1

5

.

We now know that the perpendicular travels through the point

(

−

5

,

3

)

and has a slope of

−

1

5

.

Solve for the unknown

b

in

y

=

m

x

+

b

.

3

=

−

1

5

(

−

5

)

+

b

⇒

3

=

1

+

b

⇒

2

=

b

Therefore, the equation of the perpendicular bisector is

y

=

−

1

5

x

+

2

.

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