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please solve all For the position function s (t) = 15/t + 1, complete the follow

ID: 3343783 • Letter: P

Question

please solve all

For the position function s (t) = 15/t + 1, complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 0. Complete the following table. (Type an integer or decimal rounded to three decimal places as needed.) For the position function s (t) = -16t2 + 104t complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 1. Complete the Mowing table. (Type exact answers. Type integers or decimals.)

Explanation / Answer

1 )

[0,1] , ans = (7.5 - 15) /1 = -7.5

[0,0.5] ,ans = ( 10 -15 ) / 0.5 = -10

[0,0.1] , ans = ( 13.636 - 15 ) / 0.1 = -13.636

[0,0.01] , ans = ( 14.851 - 15 ) / 0.01 = -14.851

[0,0.001] , ans = (14.985 - 15 ) /0.001= -14.985

instantaneous velocity = -15

2 )

s(t) = -16t^2+104t

[1,2] , ans = (144 - 88) /1 = 56

[1,1.5] ,ans = ( 120-88 ) / 0.5 = 64

[1,1.1] , ans = ( 95.04- 88 ) / 0.1 = 70.4

[1,1.01] , ans = ( 88.7184 - 88) / 0.01 = 71.84

[1,1.001] , ans = (88.071984 - 88 ) /0.001= 71.984


instantaneous velocity = 72