A = iat +jßt + kyt where a, B, and y are constants, find the first and second time derivatives dA/dt and d'Aldr. b- A metal block of mass m slides on a horizontal surface that has been lubricated with a heavy oil so that the block suffers a viscous resistance that varies as the 3/2 power of the speed: F(v)=-cv32 If the initial speed of the block isvo at x = 0, show that the block cannot travel farther than: 2mv ,1/2 Xmax

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Q2:
a- Given the time-varying vector
A = iat +jßt + kyť
where a, B, and y are constants, find the first and second time
derivatives dA/dt and d'Aldr.
b- A metal block of mass m slides on a horizontal surface that has been
lubricated with a heavy oil so that the block suffers a viscous
resistance that varies as the 3/2 power of the speed:
F(v)=-cv/2
If the initial speed of the block isvo at x 0, show that the block
cannot travel farther than:
,1/2
2mv2
Xmax =
Хтах
C
Transcribed Image Text:Q2: a- Given the time-varying vector A = iat +jßt + kyť where a, B, and y are constants, find the first and second time derivatives dA/dt and d'Aldr. b- A metal block of mass m slides on a horizontal surface that has been lubricated with a heavy oil so that the block suffers a viscous resistance that varies as the 3/2 power of the speed: F(v)=-cv/2 If the initial speed of the block isvo at x 0, show that the block cannot travel farther than: ,1/2 2mv2 Xmax = Хтах C
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