please solve all For the position function s (t) = 15/t + 1, complete the follow
ID: 3343782 • 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
3)
s(t)=15/t+1
ds/dt=-15/(t+1)^2
v(t)=-15/(t+1)^2
average velocity = inte(0 to 1)[-15/(t+1)^2=[15/t+1]
a.o to 1=15/2-15=-7.5
b.o to 0.5=10-15=-5
c.o to 0.1=13.63-15=-1.37
d.0 to 0.01=14.85-15=-0.15
e.0 to 0.001=14.98-15=-0.02
2.
s(t)=-16t^2+104t
ds/dt=-32t+104
average velocity v(t)=inte(1 to2)[-32t+104]=[-16t^2+104t]
a.1 to 2=104-48=56
b.1 to 1.5=120-88=32
c.1 to 1.1=95.04-88=7.04
d.1 to 1.01=88.72-88=0.72
e.1 to 1.001=88.072-88=0.072
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