Throwing an object in a moving car

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In summary, there is an equation to describe the comparison between an object thrown from a backseat to the dashboard of a sedan going 80 down the freeway and an object thrown the same distance outside of a stationary vehicle. This concept is known as Galilean relativity and can be understood by considering the speed and distance of the objects as perceived by both the person throwing and the person in the car. Both will agree on the time and distance traveled by the objects, but will have different perceptions of their speeds.
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musubi racing
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is there an equation to describe object thrown from backseat to dashboard, in a sedan going 80 down the freeway
as compared to object thrown same distance outside of stationary vehicle?
 
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Try googling for "Galilean relativity", that will get you started.

The concept is pretty simple: if both objects are thrown with speed ##V## and cover a distance ##D## (so spend time ##T=D/V## in flight) according to the person doing the throwing, and for simplicity both throws happen at the same time, street guy will say that the car object was thrown with speed ##80+V##; car guy will say that the street object was thrown with speed ##80-V##. Both will agree that the object spent the same amount of time in flight, and distance=speed*time will get the distance traveled and the position of both objects at any moment according to either of them.
 
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1. How does throwing an object in a moving car affect its trajectory?

When an object is thrown in a moving car, its trajectory will depend on the combined velocities of the car and the object. If the object is thrown in the same direction as the car's motion, its velocity will be added to the car's velocity, resulting in a greater overall velocity and a longer trajectory. If the object is thrown in the opposite direction of the car's motion, its velocity will be subtracted from the car's velocity, resulting in a slower overall velocity and a shorter trajectory.

2. Will the object's trajectory be affected by the car's acceleration or deceleration?

Yes, the object's trajectory will be affected by the car's acceleration or deceleration. If the car is accelerating, the object's trajectory will be longer due to the increased velocity of the car. If the car is decelerating, the object's trajectory will be shorter due to the decreased velocity of the car.

3. How does the size and weight of the object affect its trajectory?

The size and weight of the object will affect its trajectory by determining its velocity and momentum. A larger and heavier object will have a greater momentum, resulting in a longer trajectory when thrown in the same direction as the car's motion. On the other hand, a smaller and lighter object will have a lower momentum and a shorter trajectory when thrown in the opposite direction of the car's motion.

4. Is there a maximum speed at which an object should be thrown in a moving car?

Yes, there is a maximum speed at which an object should be thrown in a moving car to ensure safety. The speed of the object should not exceed the speed of the car, as this could result in the object hitting the back of the car or even breaking through the windshield. It is important to consider the speed and weight of the object as well as the speed and direction of the car when throwing objects in a moving car.

5. How does the angle of the throw affect the object's trajectory?

The angle of the throw will determine the direction of the object's velocity and therefore affect its trajectory. For example, throwing an object at a steep angle will result in a higher trajectory, while throwing it at a shallow angle will result in a lower trajectory. The angle of the throw should be carefully considered when trying to achieve a specific trajectory.

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