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andrew11 [14]
2 years ago
13

Micheal models an experiment. He places a model car on a tramp that can be adjusted to different heights. Each time the model ca

r travels down the ramp, micheal measures the distance the car travels from the end of the ramp. the graph shows the distance travelled by micheals model car when it leaves the ramp of different heights.
A. When the ramp is 2ft high, the model car travels 9ft ft
B. When the ramp is 9ft high, the model car travels 2ft
C. The average speed of the model car is 2ft per sec, when the ramp is 9 ft high.
D. The average speed of the model car is 9ft per second when the ramp is 2ft high
Mathematics
1 answer:
Nadusha1986 [10]2 years ago
8 0

Answer:A

Step-by-step explanation:

because i just know iot is

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A timer is started and a few moments later a model airplane is launched from the ground. Its height (in feet) as a function of t
WITCHER [35]

The airplane reaches its maximum height of 81 feet in 12 seconds.

<h3>Behavior of curves</h3>

If y = x^{2}, it means that the second derivate is 2 which is positive, then there is a minimum turning point.

If y = - x^{2}, it means that the second derivative will be -2 which is negative, then there is a maximum turning point.

Analysis:

h(t) = -(t - 12)^{2} + 81

By expanding,

h(t) = -(t^{2} - 24t + 144) +81

h(t) = -t^{2} + 24t - 144 + 81

h(t) = -t^{2} + 24t - 63

at turning point d/dt(h(t)) = 0

d/dt (h(t)) = -2t +24

-2t +24 = 0

if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.

2t = 24

t  = 12 seconds

h(t) at t = 12

h(t) = -(12)^{2} + 24(12) - 63 = 81 feet

In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.

Learn more about minimum and maximum points: brainly.com/question/14993153

#SPJ1

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