Answer to Question #2774 in Abstract Algebra for carson
Then by the definition glider ratio is the quotient:
ux / uy = 0.3,
vx / vy = 2/7
The move of each glider can be regarded as a sum of two moves: vertical and horizontal.
The vertical move has negative acceleration
a = -9.8 m/s^2, with initial velocity uy,
while the horizontal move has constant velocity ux.
Similarly for the move of the second glider.
Since& they hit the ground at the same moment T, starting from the same height, it follows that they come the same paths:
Sy1 = uy * T& - g T^2 /2
Sy2 = vy * T& - g T^2 /2
As& S1=S2 and t is the same, it follows that uy=vy.
Denote this number by& U.
Then& ux / U = 0.3, and thus
ux = 0.3 U,
Since the horizontal moves have constant velocities, we have that
Sx1 = ux * T = 0.3 * U * T = 21/70 * U * T
Sx2 = vx * T = 2/7 * U * T = 20/70 * U * T,
& Sx1 > Sx2
Hence the first glider come the farther horizontal distance.
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