A toy airplane is flying in a straight horizontal (parallel to the ground) path with a speed of vi = 26.0 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=2363s4/m and vx(t) is the x component of the airplane's velocity. The airplane crashes 41.25 seconds after the engines stop. In this question I have to find the vertical Vy component of the plane when it hits the wall. I know that to get that I have to integrate ay(t) but I can't figure out what I'm supposed to put in for Vx(t) in the equation.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A toy airplane is flying in a straight horizontal (parallel to the ground) path with a speed of vi = 26.0 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=2363s4/m and vx(t) is the x component of the airplane's velocity. The airplane crashes 41.25 seconds after the engines stop.

In this question I have to find the vertical Vy component of the plane when it hits the wall. I know that to get that I have to integrate ay(t) but I can't figure out what I'm supposed to put in for Vx(t) in the equation.

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