The y-graph represents the problem, because the car begins at above the origen then is thrown to the Earth after a certain amount of time goes by. The slope is always negative, so the derivative and Vy graph is a negative linear line. As time goes by, the position approaches 0. As it approaches 0, it approaches 0 faster. The object starts at rest and begins going faster and faster in a negative direction.
The x-graph represents the problem, because as time goes on the car is still horizontally moving. The derivative of a positive linear line the poitive position go in a positive direction at a positive rate.
Equations:
First, I used the position equation. The car travels from 0 meters to 125 meters, so the position is -125 meters. The vertical motion doesn't have an initial velocity. Gravity pulls on the car at -9.8 m/s2. I then solve the equation to find the time the car took to reach the ground. I find after 5.05 seconds, the tornado replaces the car on the ground.
Next, I use the change in x equation, change in x equals Vx times t, to find how far horizontally the car actually travels. The tornado flings the car horizontally at an initial velocity of 90.0m/s. Since I already found the time the car takes to reach the ground, I can plug 5.05 seconds in for time. I come up with the horizontal displacement of the car by the tornado to be 454.5 meters.
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