.
If we assume that air resistance is proportional to the square of the velocity, then the time t in seconds
required for an object to reach a velocity v in feet per second is given by:
t=9/24ln 24+v/24-v, 0 < v < 24
determine the velocity, to the nearest hundredth foot per second of the object after 1.3 seconds
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If your formula is
t =
then they want you to solve this equation for "v":
1.3 = .
It is equivalent to
= or
= 3.4666,
= ,
= ,
= 32.03 (approximately).
====> 24 + v = 32.03*(24 - v) ====> v + 32.03v = 32.03*24 - 24 ====> v = = 22.55 (approximately).
Solved. The answer is v = 22.55.
Check. = 1.3. Correct !