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Ray Of Light [21]
3 years ago
10

A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i

s given by h(t)=−4.9x2+19.6x+24.
a. How long does does it take for the ball to reach its maximum height?
b. What is the maximum height of the ball?
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

a.2s b.43.6m

Step-by-step explanation:

h(t)=−4.9t2+19.6t+24

24m = inittial possition

-4.9 t2= -1/2 g t2

19.6t=  Vo t

as the initial velocity is positive, the ball is thrown up.

the maximum height of the ball is reached when the velocity is 0

V= Vo-gt=19.6m/s-9.8m/s2 t=0

t=19.6/9.8=2s

<u>it takes 2seconds for the ball to reach its maximum height</u>

h(t)=−4.9t2+19.6t+24

h(2)=-19.6m+39.2m+24=43.6m

<u>the maximum height of the ball is 43.6m</u>

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Rent-An-SUV charges an $80 fee to rent a truck and $12 per mile. Another rental company charges a $150 fee to rent a truck
almond37 [142]

The linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320

Since we are not told what to find, we can look for t<u>he linear equation that can be used to calculate daily car rentals</u>;

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  • Let the amount per mile of the truck rent be x.

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  • Similarly, if another rental company charges a $150 fee to rent a truck and $8.50 per mile, this can also be written in a coordinate form as (8.50, 150)

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Get the rate of change;

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Get the required linear equation;

f(x) = mx + b

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Hence the linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320

Learn more on linear equation here: brainly.com/question/12788590

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