There are a couple of ways to figure this. One is to use a sort of shortcut equation to find the distance traveled (d) by an object when subject to some initial velocity (v) and acceleration (a). Here the acceleration due to gravity is -32 ft/s².

v² = 2ad

d = v²/(2a) = (192 ft/s)^2/(2·32 ft/s²) = 576 ft

This height is in addition to the starting height of 95 ft, so the arrow's maximum height is ...

max height = 95 ft + 576 ft = 671 ft

Another way to work this problem is to start with the equation for ballistic motion. Filling in the given initial velocity and height, we have ...

h(t) = -16t^2 +192t +95

The time the arrow reaches the maximum height is the time representing the axis of symmetry of the parabola:

t = -(192)/(2(-16)) = 6

Then the maximum height is ...

h(6) = -16·6^2 +192·6 +95 = 671

The maximum height is 671 feet.

<em>Additional comment</em>

For the standard-form quadratic ...

y = ax^2 +bx +c

The axis of symmetry is ...

x = -b/(2a)

6 0

3 years ago

Evaluate∣2x+7∣ for x=-4

yanalaym [24]

∣2x+7∣ for x=-4

Use the substitution method

∣2*-4+7∣

Mutiply first then add +7

∣2*-4∣= -8

∣-8+7∣= -1

Whenever there is a negative number for absolute value , the number becomes a + positive number.

∣-1∣= 1

Answer:

5 0

2 years ago

What does 8.1 pi belong to other than irrational?

kvv77 [185]

Real numbers, both rational and irrational numbers are real numbers

5 0

2 years ago

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