this is the equation of motion for a turtle: s(t)=-3t + 10. fill the table and graph it.\n| time | position…

this is the equation of motion for a turtle: s(t)=-3t + 10. fill the table and graph it.\n| time | position : s(t)=-3t + 10 |\n| ---- | ---- |\n| 0 | 3t + 10 = 3.0+ |\n| 1 | |\n| 2 | |\n| 3 | |\n| 4 | |\n| 5 | |

this is the equation of motion for a turtle: s(t)=-3t + 10. fill the table and graph it.\n| time | position : s(t)=-3t + 10 |\n| ---- | ---- |\n| 0 | 3t + 10 = 3.0+ |\n| 1 | |\n| 2 | |\n| 3 | |\n| 4 | |\n| 5 | |

Answer

Explanation:

Step1: Substitute t = 0

$s(0)=-3\times0 + 10=10$

Step2: Substitute t = 1

$s(1)=-3\times1 + 10 = 7$

Step3: Substitute t = 2

$s(2)=-3\times2+10 = 4$

Step4: Substitute t = 3

$s(3)=-3\times3 + 10=1$

Step5: Substitute t = 4

$s(4)=-3\times4 + 10=-2$

Step6: Substitute t = 5

$s(5)=-3\times5 + 10=-5$

The completed table:

Time Position $s(t)=-3t + 10$
0 10
1 7
2 4
3 1
4 -2
5 -5

To graph it, we have a linear - function $y=-3x + 10$. The y - intercept is 10 (when $x = 0,y = 10$) and the slope is - 3. We can plot the points from the table and draw a straight line through them.

Answer:

Time Position $s(t)=-3t + 10$
0 10
1 7
2 4
3 1
4 -2
5 -5