Important: It's h = -16t^2 + 30t + 4, where " ^ " indicates exponentiation.
The units of measurement of h(t) are "feet."
Note that if time t = 0, h(0) = 4. This is the "initial value" of your function, the height off the ground of the ball at the very beginning.
As time progresses, the ball will travel skyward, slow down, momentarily stop moving, and then fall to the ground at an increasingly faster rate.
Here's the table of t and h values that you wanted:
t (sec) h(t) (feet)
0
4
0.5
15
1
18
1.5 4
2.0 0
Note that the ball must stop moving when it hits the ground. According to this table, that happens at time 2 sec. The max height reached by the ball is in the neighborhood of 18 ft, after 1 sec of upward travel.
Answer:
∅ ≈ 56.31°
Step-by-step explanation:
The bird is spotted flying 6000 ft from a tower . The distance of the tower from the bird is 6000 ft. The height of the tower is 9000 ft because the observer spot the distance from the top of the tower at a distance of 9000 ft.
The illustration forms a right angle triangle. The adjacent side of the triangle is 6000 ft and the height or opposite side of the triangle is 9000 ft. Using tangential ratio the angle of depression from the bird to the observer can be found as follows.
Let
∅ = angle of depression
tan ∅ = opposite/adjacent
tan ∅ = 9000/6000
tan ∅ = 1.5
∅ = tan⁻¹ 1.5
∅ = 56.309932474
∅ ≈ 56.31°
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Answer:
A. If the dividend is greater than the divisor, the quotient will be greater than 1.
Step-by-step explanation:
Checking all options
A. If the dividend is greater than the divisor, the quotient will be greater than 1.
That is,
4 ÷ 3 = 1.33
Where,
4 is the dividend
3 is the divisor
1.33 is the quotient
THIS IS TRUE
B.If the dividend is less than the divisor, the quotient will be greater than 1
That is,
3 ÷ 4 = 0.75
Where,
3 is the dividend
4 is the divisor
0.75 is the quotient
NOT TRUE
C. If the dividend is equal to the divisor, the quotient will be less than 1
That is,
3 ÷ 3 = 1
Where,
3 is the dividend
3 is the divisor
1 is the quotient
NOT TRUE
D. If the dividend is greater than the divisor, the quotient will be less than 1.
That is,
4 ÷ 3 = 1.33
Where,
4 is the dividend
3 is the divisor
1.33 is the quotient
NOT TRUE
Therefore, option A is TRUE
3.1
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