Which statement correctly compares the function shown on this graph with the function y = 5x + 5?
10
8
6
42
2 4 6 8 10
-10 -8 6 4 2
-2
-4
-6
O A. The function shown on the graph has the same rate of change, but
a lower starting point
O B. The function shown on the graph has a smaller rate of change and
a lower starting point
O C. The function shown on the graph has a smaller rate of change, but
the same starting point.
D. The function shown on the graph has the same rate of change, but
a higher starting point.

Which statement correctly compares the function shown on this graph with

the function y = 5x + 5?

Solved

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Ответ:

hezekiahmharris

11.04.2023

Mathematics

After 14.92 seconds, the arrow hits the ground.

Step-by-step explanation:

Given:

Initial velocity of the arrow is, $u=240\ ft/s or 73.152\ m/s$

The arrow goes up and come back to the same starting position. So, initial position is same as that of final position.

Therefore, displacement of the arrow is 0 m.

The displacement of the arrow is given as:

$s=ut-\frac{1}{2}gt^{2}$ (equation 1)

Plug all value in equation 1 and solve for

$0=73.152\timests t-\frac{1}{2} \times9.8 \times t^{2}$

$0=73.152\timests t-4.9 \times t^{2}$

$0=t(73.152-4.9 \times t)$

$73.152-4.9\times t=0$ where $t\neq 0$

$4.9\times t=73.152$

$t=\frac{73.152}{4.9}= 14.92\ s$

∴ After 14.92 seconds, the arrow hits the ground.

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