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Fiesta28 [93]
3 years ago
5

A golf ball is hit with an initial velocity of 100 feet per second. The height of the golf ball can be represented by the equati

on h=100t−16t^2, where t is the time in seconds since the ball was hit and h is the height of the ball in feet. How long will it take for the ball to hit the ground?
Mathematics
2 answers:
Sedaia [141]3 years ago
7 0

Answer:

6.30 seconds

Step-by-step explanation:

LenaWriter [7]3 years ago
5 0

Answer:

  • 6.25 seconds

Step-by-step explanation:

<u>Using the the equation </u>

  • h = 100t − 16t^2

<u>The ball hits the ground, when h = 0, solving below equation:</u>

  • 100t − 16t^2 = 0
  • 4t(25 - 4t) = 0
  • t = 0 seconds, this is the starting point when ball was hit
  • 25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground
You might be interested in
Calculate the double integral. $$\iint_{R}{\color{red}4} xye^{x^{2}y}\hspace*{3pt}dA, \quad R = [0, 1] \times [0, {\color{red}7}
Lady_Fox [76]

Answer:

\mathbf{\int \int _R \ 4xy e^{x^2 \ y}  \ dA =  2 (e^7 -8)}

Step-by-step explanation:

Given that:

\int \int _R 4xye^{x^2 \ y} \ dA, R = [0,1]\times [0,7]

The rectangle R = [0,1] × [0,7]

R = { (x,y): x ∈ [0,1] and y ∈ [0,7] }

R = { (x,y): 0 ≤ x ≤ 1 and 0 ≤ x ≤ 7 }

\int \int _R \ 4xy e^{x^2 \ y}  \ dA = \int^{7}_{0}\int^{1}_{0} 4xye^{x^2 \ y} \ dx dy

\int \int _R \ 4xy e^{x^2 \ y}  \ dA = \int^{7}_{0} \begin {bmatrix} ye^{yx^2} \dfrac{4}{2y} \end {bmatrix}^1 _ 0 \ dy

\int \int _R \ 4xy e^{x^2 \ y}  \ dA = \int^{7}_{0} \begin {bmatrix} ye^{y1^2} \dfrac{4}{2y} - ye^{y0^2} \dfrac{4}{2y} \end  {bmatrix}\ dy

\int \int _R \ 4xy e^{x^2 \ y}  \ dA = \int^{7}_{0} \dfrac{4}{2}(e^y -1) \ dy

\int \int _R \ 4xy e^{x^2 \ y}  \ dA =  \dfrac{4}{2}[e^y -1]^7_0 \ dy

\int \int _R \ 4xy e^{x^2 \ y}  \ dA =  2 [(e^7 -7)-(e^0 -0)]

\int \int _R \ 4xy e^{x^2 \ y}  \ dA =  2 [(e^7 -7)-1]

\mathbf{\int \int _R \ 4xy e^{x^2 \ y}  \ dA =  2 (e^7 -8)}

3 0
4 years ago
Please help i’ll give brainliest if you help thanks
Sphinxa [80]
The answer is d.

Hope this helps
6 0
3 years ago
Neeed helppp pleasseeee
OleMash [197]
-1/24 is the answer
7 0
3 years ago
??????????????????????????
a_sh-v [17]

Answer:

Not a polynomial.

Step-by-step explanation:

A polynomial would have addition or subtraction signs separating the variable terms. so while -7c^3 d is not a polynomial, -7c^3 +cd would be.

5 0
3 years ago
8. Given that DAB and DCB are right angles and BDC = 55°, what is m CAD?
Artyom0805 [142]

Answer:

d

Step-by-step explanation:

d

5 0
3 years ago
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