(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
#SPJ1
$62,342 is the salary earned by Ava.
<u>Step-by-step explanation</u>:
<u>step 1</u> :
Xavier's salary = $42,700
<u>step 2</u> :
Ava's salary = 46% higher than Xavier salary.
= 100% of Xavier salary + 46% of Xavier salary
= 146% of Xavier salary
<u>step 3 </u>:
Ava is earning a salary = (146/100)
42,700
= 146 427
= 62,342
∴ Ava is earning a salary of $62,342.
7. if you have a fraction with the same denominator, to add them together you add the numerators and the keep the denominator the same. to subtract, you subtract the numerator and keep the denominator the same.
8. the whole number times the denominator and add the answer to the numerator. to subtract you so the same just subtract rather than add
1. Perpendicular Transverse Theorem
2. a=30 and b=60
Answer:
{F, O, U, R} in the word 'FOUR'
