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ANSWER PLEASE!!! I NEED THE HORIZONTAL DISPLACEMENT!!!! A small plane is flying at 85 m/s as it passes directly over your brand-new car when a passenger drops his backpack. It takes 9 seconds for the backpack to fall to the ground. You are very worried that the backpack will land on your new car and you wonder if you should move it. What will be the horizontal displacement of the backpack as it fall? Should you move your car?

Respuesta :

Answer: Δx = vxt = (85 m/s)(9s) = ? m

Explanation:

If the plane is in level flight,

 

Δx = vxt = (85 m/s)(9s) = ? m

 

Note that if Δx ≠ 0, it will not land on the car.

The values for the horizontal displacement and repositioning of the car are;

As it falls, the backpack will have a maximum horizontal displacement (away from the car) of 795 meters

The car should remain in its current position; Do not move the car

The reason the above values are correct is as follows;

The known information about the airplane, the backpack and the car are;

The speed of the airplane = 85 m/s

The time it takes the backpack to fall to the ground, t = 9 seconds

The position of the airplane when the backpack is dropped = Directly over the brand new car

Required:

  • The horizontal displacement of the backpack as it falls
  • Should the car be moved

Solution to the first question:

The horizontal displacement of the backpack = Horizontal velocity × Time, t

According to Newton's First Law of motion, the velocity of the backpack at the point it was dropped is the same as the velocity of the airplane

Given that the velocity of the airplane given is the horizontal velocity, we have;

The horizontal velocity of the backpack = 85 m/s

The displacement of the backpack = 85 m/s × 9 s = 795 m

  • The horizontal displacement of the backpack as it falls = 795 meters in front of the car

Solution to the second question:

Given that the backpack will land 795 meters in front, away from the car, the car is safe if it remains in its current position

  • The car should not be moved

Learn more about horizontal displacement of an object in free fall here:

https://brainly.com/question/13372763