The Men’s pole vault world record was set recently at the World Athletics Championships in Eugene by Swedish vaulter Armand Duplantis. If t is the time after Duplantis reaches his maximum height (clearing the bar), the velocity, V (t), with which he is falling from his maximum height is given by the equation ( i
hello i need help with this question.
The Men’s pole vault world record was set recently at the World Athletics Championships in Eugene by Swedish vaulter Armand Duplantis. If t is the time after Duplantis reaches his
maximum height (clearing the bar), the velocity, V (t), with which he is falling from his maximum
height is given by the equation ( i attached the picture of it)
where g is the gravitational constant, M is the mass and A is a positive constant that depends on
the surface area of the falling object and the properties of air.
1. Use a limit to find Duplantis’s velocity the instant he reaches his maximum height
2. Find the limit lim
t→∞
V (t).
3. Plot V (t) if g = 9.8m/s^2
, M = 79kg, and, A = 3 kgs/m
for t = [0, 5]. Label terminal velocity on
your plot.
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