(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².
(b) The time for the ball to hit the ground is 3.15 s.
(c) The time for the ball to travel 56 ft above the ground is 0.79 s.
<h3>Vertical motion equation for the ball</h3>
The vertical motion equation for the ball is calculated as follows;
h = h₀ + vt - ¹/₂gt²
h = 8 + 48t - ¹/₂(32)t²
h = 8 + 48t - 16t²
<h3>Time for the ball to hit the ground</h3>
0 = 8 + 48t - 16t²
solve the above quadratic equation with formula method;
a = -16, b = 48, c = 8
t = 3.15 s
<h3>Time for the ball to be 56 ft above the ground</h3>
- let upward motion be positive
h = 8 + 48t + 16t²
56 = 8 + 48t + 16t²
0 = -48 + 48t + 16t²
solve the above quadratic equation with formula method;
a = 16, b = 48, c = -48
t = 0.79 s
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Answer:
$3,400,000
Step-by-step explanation:
170,000/ 5% for the increase
170,000/ 5% = $3,400,000
Answer:
<u>4 hours</u>
Step-by-step explanation:
Equations :
Larry : <u>y = 20x + 90</u>
Barry : <u>y = 30x + 50</u>
Equate both to find the number of hours at which they both charge the same :
- 20x + 90 = 30x + 50
- 30x - 20x = 90 - 50
- 10x = 40
- x = <u>4 hours</u>
I got E and F. A would be correct as is I think, B is 9^2x, C, correct as is, D, is 9 ^2x, and E and F is 9^x