Question

Please Check, getting weird answer. object is thrown in the air [...] modelled by h(t)=-5t^2+20t+1 [...] Find Instantaneous Velocity at t= 2 h(t+h) - h(t) / h

Answer 1

h(t) = 21 [plugged in t=2]
h(2+h) = -5(2+h)^2 +20(2+h) + 1
(25h^2 +100h+100) + 40 +20h + 1
h(2+h)=25h^2+120h+141
h(2+h)-h(2) / h
25h^2+120h+141 - 21 / h
h(25h + 120 +141) -21 /h
25h+240
25(0) + 240
=240m/s

Answer 2

second line:
-5(2+h)^2 +20(2+h) + 1
-5(4 + 4h + h^2) + 40h + 20 + 1
-20 - 20h - 5h^2 + 40h + 20 + 1

Answer 3

Thanks

Answer 4

np