Help!!!..... Derivatives!!!?

6 ⤊

Help please......... somebody.... help.....

How do you demonstrate that v at t = t0 ????

given that s(t) = 1.3t^2 + 7.8t

2007-11-23 03:28:49 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

s `(t) = 2.6 t + 7.8 is velocity at time t
s `(0) = 7.8 is velocity at t = 0
s `(10) = 26 + 7.8 = 33.8 is velocity at t = 10

2007-11-28 03:22:45 · answer #1 · answered by Como 7 · 3⤊ 1⤋

s(t) = 1.3t^2 + 7.8t

v(t) = d s(t) /dt = 2.6 t +7.8
v(10) = 26 +7.8 = 33.8

2007-11-23 11:36:43 · answer #2 · answered by Any day 6 · 2⤊ 2⤋

Differentiate w.r.t. time t,
s'(t) = 2.6 t + 7.8
v(t0) = s'(t0) = 2.6 t0 + 7.8

2007-11-23 12:15:53 · answer #3 · answered by sahsjing 7 · 0⤊ 2⤋

ds/dt=1.3(2)t+7.8
=2.6t+7.8
t=10
=26+7.8=33.8

2007-11-23 11:37:18 · answer #4 · answered by cidyah 7 · 1⤊ 2⤋