Velocity

Calculus Level 2

Which is the exact amount of time when the velocity is 1 ft/sec?

t = 12 seconds t = 6 seconds t = 1 second t = 6.5 seconds

Lew Sterling Jr by Lew Sterling Jr , 24, USA

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1 solution

Justin Tuazon
Oct 18, 2014

s ( t ) = 13 t − t 2 L e t s = 13 t − t 2 L e t V = v e l o c i t y V = d s d t = 13 − 2 t T o f i n d t h e t i m e , t , w h e n t h e v e l o c i t y i s 1 , 13 − 2 t = 1 − 2 t = − 12 t = 6 o r 6 s e c o n d s s(t)=13t-{ t }^{ 2 }\\ Let\quad s=13t-{ t }^{ 2 }\\ Let\quad V=velocity\\ V=\frac { ds }{ dt } =13-2t\\ To\quad find\quad the\quad time,\quad t,\quad when\quad the\quad \\ velocity\quad is\quad 1,\\ 13-2t=1\\ -2t=-12\\ \boxed { t=6 } \quad or\quad 6\quad seconds\\

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Actually, the velocity is never 1 1 ft/sec. The speed is.

See this problem for disambiguation.

Filip Rázek - 3 years, 6 months ago

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