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savannahvargas512
25.11.2019 •
Mathematics
Marsha serves the volleyball to rhonda with an upward velocity of 14.5 ft./s. the bar is 4 feet above the ground when she strikes it. how long does rhonda have to react, before the volleyball hits the ground? round your answer to two decimal places.
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Ответ:
The taken by Rhonda to react before volleyball hits ground is 2.39 seconds
Step-by-step explanation:
Given as :
The upward velocity of the volleyball = 14.5 ft/s
The height of the ball above ground = 4 feet
Consider value of acceleration due to gravity = 9.8 m/s
Let the time for Rhonda to react before ball hits ground = t sec
Now,
S = u t +
a t²
where s = height
u = initial velocity , a = acceleration due to gravity , t = time in sec
So, 4 = 14.5× t +
× 9.8 × t²
or, 4 = 14.5 t + 4.9 t²
or, 4.9 t² + 14 .5 t - 4 = 0
Now, solve for t
t =![\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}](/tpl/images/0389/5898/cd69d.png)
or, t =![\frac{-14.5\pm \sqrt{14.5^{2}-4\times 4.9\times (4)}}{2\times 4.9}](/tpl/images/0389/5898/38247.png)
Or, t =![\frac{-14.5\pm \sqrt{80.5025}}{9.8}](/tpl/images/0389/5898/03f1b.png)
Or, t = - 2.39 , - 2.76
Hence The taken by Rhonda to react before volleyball hits ground is 2.39 seconds . Answer
Ответ:
9-240÷8×6
9-30×6
9-180
-171