H(t) = Ho +Vot - gt^2/2
Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2
H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2
Maximun height is at the vertex of the parabole
To find the vertex, first find the roots.
58.8 + 19.6t - 4.9t^2 = 0
Divide by 4.9
12 + 4t - t^2 = 0
Change sign and reorder
t^2 - 4t -12 = 0
Factor
(t - 6)(t + 2) =0 ==> t = 6 and t = -2.
The vertex is in the mid point between both roots
Find H(t) for: t = [6 - 2]/2 =4/2 = 2
Find H(t) for t = 2
H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4
Answer: the maximum height is 78.4 m
Answer:
Step-by-step explanation:
We have the two points: (0, 11) and (3, 50).
And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.
In simple terms, we want to find the slope between the two points.
So, let's use the slope formula:
Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:
Subtract and reduce:
And we're done!
The answer to 134.42 by 28 is estimated to 4.8
Answer:
I believe it would be 86 cups left of milk.
Step-by-step explanation:
8 gallons= 128 cups of milk
3 quarts= 12 cups
Plus the 1 cup of milk he had equals 141 of milk in total
Now the customer wants 2 gallons (32 cups of milk), 5 quarts ( 20 cups), and 3 cups which is 55 cups of milk.
Now we minus what the customer bought from what the shop keeper had so:
55-141=86
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