We are given
A dog runs from point O to B
t(OA)=2.3 s
t(OC)=4.1 s
now, we can find time between A and C
t(AC)=t(OC)-t(OA)
t(AC)=4.1-2.3
t(AC)=1.8 s
we are given
distance between A and C is 4m
so,
d=4m
now, we can find average velocity between A and C
we can plug values
so, option-C..................Answer
Answer:
(a) The time the T-shirt takes to maximum height is 2 seconds
(b) The maximum height is 68 ft
(c) The range of the function that models the height of the T-shirt over time given above is
Step-by-step explanation:
Here, we note that the general equation representing the height of the T-shirt as a function of time is
Where:
h = Height reached by T-shirt
t = Time of flight
u = Initial velocity = 64 ft/s
g = Acceleration due to gravity (negative because upward against gravity) = 32 ft/s²
h₁ = Initial height of T-shirt = 4 ft
(a) The maximum height can be found from the time to maximum height given as
v = u - gt
Where:
u = Initial velocity = 64 ft/s
v = Final upward velocity at maximum height = 0 m/s
g = 32 ft/s²
Therefore,
0 = 64 - 32·t
32·t = 64 and
t = 64/32 = 2 seconds
(b) Therefore, maximum height is then
∴ h = 68 ft
The T-shirt is then caught 41 ft above the court on its way down
(c) The range of the function that models the height of the T-shirt over time given above is derived as
With u = 64 ft/s
g = 32 ft/s² and
h₁ = 4 ft
The equation becomes
.
Answer:
$8659
Step-by-step explanation:
Patricia's sales = $ 72,900
Her commission = 11% of $72,900
= 11/100 * 72,900 [ % means out of 100 and of means to multiply ]
= 11 * 729
= $ 8019
Her monthly salary = $640
Her monthly salary along with commission = $640 + $8019
= $8659
Hope this helped!
<h3>~AH1807</h3>