I just want to check my answers. \"When you jump out of an airplane the force du
ID: 1336402 • Letter: I
Question
I just want to check my answers.
"When you jump out of an airplane the force due to air resistance increases as your velocity does. When the force due to air resistance matches the force due to gravity, you stop accelerating and your velocity becomes constant. This velocity is called terminal velocity and depends upon many factors. For a typical sky diver this is about 120 mph and is reached in about 8 seconds."
"a. Is v'(t) positive, negative, or zero? Or does it depend on t?
b. What about v"(t)?
c. Sketch a possible graph of v(t)."
a. I said positive, because I think that the graph is positive and concave down.
b. V"(t) should be negative if I got a correct
c. v(t) is positive concave down?
Explanation / Answer
a) Actually in depents on time:
For t from 0 to 8 seconds it is indeed positive but for t>8 seconds V'(t) becomes zero, because you reach terminal velocity and your speed does not change.
b) V''(t) is negative, but for t>8 it is zero.
c) V(t) is poisitive and concave down from 0 to 8, but from t>8 seconds it stabilizes at terminal velocity (Becomes a horizontal constant line).