Derivatives and Rates of Change

[TWELVEPEANUTS11]

the velocity v(t) of a falling raindrop at time t is
v(t) = v*(1-e^(-gt/v*))

where g is the acceleration due to gravity and v* is the terminal velocity of the raindrop

a) find lim t-->infinity v(t)
b) graph v(t) if v* = 1 m/s and g= 9.8 m/s. How long does it take for the velocity of the raindrop to reach 99% of its terminal velocity?

 

[mmm4444bot]

What happens to the value of the Rational number -gt/v*, as t grows without bound?

By the way, on part (b), are you graphing by machine? Are you supposed to answer part (b) using the graph?

 

[Deleted member 4993]

the velocity v(t) of a falling raindrop at time t is
v(t) = v*(1-e^(-gt/v*))

where g is the acceleration due to gravity and v* is the terminal velocity of the raindrop

a) find lim t-->infinity v(t) <<<< What is the definition of terminal velocity
b) graph v(t) if v* = 1 m/s and g= 9.8 m/s. How long does it take for the velocity of the raindrop to reach 99% of its terminal velocity?