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A toy airplane is flying in a straight horizontal (parallel to the ground) path with a...

A toy airplane is flying in a straight horizontal (parallel to the ground) path with a speed of vi = 34.0 m/s. Suddenly, the airplane's engines stop (at t=0). Using an x-axis that is horizontal and along the plane's original velocity and a y-axis that is vertical with positive away from the ground, the airplane now has an acceleration given by the following expressions:

ax(t) = − t2/C
ay(t) = − g [ 1 − vx(t)/vi ]

where C = 2680 s4/m and vx(t) is the x component of the airplane's velocity. The airplane crashes 40.45 seconds after the engines stop.

What is the vertical component of the airplane's velocity vy at the instant of the crash?
What is the airplane's impact speed when it crashes?
How high up was the airplane before its engines stopped?
How far did the airplane travel in the x direction from the time when its engines stopped to the time it crashed?

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