(a) The maximum height of the ball above the ground is 12.5 m and the time of motion is 1.43 s.
(b) The time taken for the ball to contact the other player at 0.5 m above the ground is 3.0 s.
<h3>Maximum height reached by the ball</h3>
The maximum height reached by the ball is calculated as follows.
At maximum height, the final velocity, v = 0
dh/dt = v = 0
dh/dt = -2(4.9)t + 14
0 = -9.8t + 14
9.8t = 14
t = 1.43 s
H(1.43) = -4.9(1.43)² + 14(1.43) + 2.5
H(1.43) = -10.02 + 20.02 + 2.5
H(1.43) = 12.5 m
<h3>Time to reach maximum height</h3>
12.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + 10 = 0
t = 1.43 s
<h3>Time for the ball to reach 0.5 m above the ground</h3>
0.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + - 2 = 0
t = 3.0 seconds
The complete question is below:
In a volleyball match Hanein serves the volleyball at 14 m/s, from a height of 2.5 m above the court. The height of the ball in flight is estimated using the equation, h = -4.9t² + 14t + 2.5, where t is the time in second and h is height above ground, in metres.
Learn more about time of motion here: brainly.com/question/2364404
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Answer:
3.2 height
Step-by-step explanation:
54-31.6=22.4
15-8=7
22.4/7=3.2
<span>Example: x − 2 = 4</span>
When we put 6 in place of x we get:
6 − 2 = 4
which is true
So x = 6 is a solution.
How about other values for x ?
<span><span> For x=5 we get "5−2=4" which is not true, so x=5 is not a solution.</span><span>For x=9 we get "9−2=4" which is not true, so x=9 is not a solution.</span>etc</span>
In this case x = 6 is the only solution
Answer:
Answer is D 5x-y>= 1 :)
Step-by-step explanation:
Answer:
you can do 3 x 6 + 8 - 2
Step-by-step explanation:
3 × 6= 18
+8= 26
-2= 24
hope this Helps :)
