SE$-101$B Dynamics

Winter, $2024$

Wk $3,$ #$3)$ In $1903$ the Wright

brothers flew their

plane, the Wright Flyer,

for the first time. The

plane is assumed to be

flying at $30mph$ along a

flight path defined by

$y=-25**\frac{(x-426{)}^2}{45,369}+100$

a$)$ Find the $x-$distance from the starting point where it first reaches an altitude of

feet$)$ and calculate the angle that the plane is pointing upwards from the horizon.

b$)$ Calculate the acceleration that the plane is experiencing in the normal and tangential

direction.

c$)$ Find the force that Wilbur felt at $(y=50$ feet$)$ in the tangential and normal direction

d$)$ Are these forces larger or smaller when he reaches the second point $($where he's

descending$)$ at an altitude is $(y=50$ feet$).$