Extra credit: Vertical motion with quadratic drag: Consider an object that is thrown vertically up with initial speed vo in a quadratic medium dv m mg cv2 = dt 0 the initial velocity is vo a) Find the object's velocity v(t) if at time t -0 its position is yo 0 b) Find the object's position y(t) if at time t Find the time for the object to reach its highest point c) d) Find its position ymax at that point in time. Show that in the limit c 0 your results correspond to motion in vacuum e) Find its terminal velocity on the way back to the ground
Extra credit: Vertical motion with quadratic drag: Consider an object that is thrown vertically up with initial speed vo in a quadratic medium dv m mg cv2 = dt 0 the initial velocity is vo a) Find the object's velocity v(t) if at time t -0 its position is yo 0 b) Find the object's position y(t) if at time t Find the time for the object to reach its highest point c) d) Find its position ymax at that point in time. Show that in the limit c 0 your results correspond to motion in vacuum e) Find its terminal velocity on the way back to the ground
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Transcribed Image Text:Extra credit:
Vertical motion with quadratic drag: Consider an object that is thrown vertically up with initial
speed vo in a quadratic medium
dv
m
mg cv2
=
dt
0 the initial velocity is vo
a)
Find the object's velocity v(t) if at time t
-0 its position is yo
0
b)
Find the object's position y(t) if at time t
Find the time for the object to reach its highest point
c)
d)
Find its position ymax at that point in time. Show that in the limit c 0 your results
correspond to motion in vacuum
e)
Find its terminal velocity on the way back to the ground
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