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miss Akunina [59]
3 years ago
7

A toy rocket launched straight up from the ground with an initial velocity of 80 ft/s returns to the ground after 5 s. The heigh

t of the rocket t seconds after launch is modeled by the function f(t)=−16t2+80t . What is the maximum height of the rocket, in feet?
Mathematics
2 answers:
eimsori [14]3 years ago
6 0
Maximum is 100
I just took the test, got it right 
mixas84 [53]3 years ago
5 0

Answer:

Maximum height oh the rocket was 100 feet.

Step-by-step explanation:

It has been given in the question that rocket follows the function f(t) = 80t-16t² where t is the time taken by rocket to reach maximum height and coming back to the ground.

Since initial velocity of the rocket is = 80 ft/sec

and total time taken by the rocket to come back to the ground is 5 sec

time taken by the rocket to reach the maximum height = 5/2 = 2.5 sec

Therefore from the given function

Maximum height achieved by the rocket = 80.(2.5) - 16.(2.5)²

= 200 - 100 = 100 ft.

 

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Volgvan

The arc angle AC is measured as 55 degrees.

<h3>How to find arc angle?</h3>

If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.

Therefore, the secants intersect outside the circle at point E.

The arc angle AC can be found as follows:

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