haleyehewitt2642 haleyehewitt2642
  • 18-01-2020
  • Physics
contestada

A point moves on the x-axis in such a way that its velocity at time t (t > 0) is given by v=ln t/t . At what value of t does v attain its maximum?

Respuesta :

nuuk nuuk
  • 18-01-2020

Answer:

Explanation:

Given

Velocity of point is given by [tex]v=\frac{\ln t}{t}[/tex]

To get maximum or minimum velocity differentiate v w.r.t t

[tex]\frac{\mathrm{d} v}{\mathrm{d} t}=\frac{\frac{1}{t}\times t-1\times \ln(t)}{t^2}[/tex]

so [tex]1-\ln (t)[/tex] should be equal to zero

[tex]\ln (t)=1[/tex]

[tex]t=e[/tex]

i.e. [tex]t=2.718\ s[/tex]

Answer Link

Otras preguntas

solve 5x+1/2(4x+8)=25
In what order did the following civilizations arise Aztec,inca,maya,Olmec
According to the lecture, much of flamenco music is an expression of oppression and ______
The merge process involves which two types of files?
Janelle buys a dining table on a 15% discount during a sale. If the price was $80, how much did she pay?
how to find the unit rate of 14lb for $2.99
how do you prove ratios are equivalent?
mathematical terms that mean the opposite of
A water strider is an arachnid that can walk on the surface of water. This ability is due to water’s __________________. A. cohesion B. high specific heat C.
How were the Friars and soldiers ideas about how to treat the native Americans different ?