Vector Analysis of Throwing a Ball from a Moving Car to a Stationary Target

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In summary, the problem is asking about a ball being thrown from a car at a certain velocity to a person on the side of the road. The ball is thrown at 20km/h and the car is moving at 10km/h in the North direction. The question asks which direction the ball should be thrown in order to reach the person directly to the East, and how fast the ball will travel to reach her when viewed from the ground. The solution involves finding the components of the ball's velocity and using trigonometry to determine the angle and total velocity.
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nosrepesJD
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Vector Question please help

Homework Statement


A boy in a car moving at 10km/h[N] wants to throw a ball to a girl standing on the right-hand side of the road. He is able to throw the ball at 20km/h. He wants the ball to go straight east, directly to her.
(a) Relative to the car, which way should he throw the ball in order to do this?
(b) Relative to the ground, how fast will the ball travel to reach her?

Homework Equations


not sure (missed class)

The Attempt at a Solution


not sure (missed class)
 
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  • #2


Im not comletely positive if this is right but, I think that they are giving you components of the balls velocity. The ball is moving 10 km/h N due to being in the car, and the boy can throw the ball 20 km/h E. From their you can set up a right triangle to find the angle that the ball will be moving relative to the car, and you can also find the hypotenuse which would be the balls total velocity. Again I am not completely sure, but i hope this helps.
 

1. What is a vector question on a car?

A vector question on a car refers to a physics problem that involves the use of vectors to calculate the motion of a car. It typically involves determining the magnitude and direction of the car's velocity and acceleration.

2. How do vectors relate to cars?

Vectors are used to describe the motion of a car because they have both magnitude (speed) and direction. This is important when calculating the car's velocity and acceleration, which are vector quantities.

3. What information is needed to solve a vector question on a car?

To solve a vector question on a car, you will need to know the car's initial position, its velocity, and any external forces acting on it (such as friction or gravity). This information can be represented as vectors.

4. Can you give an example of a vector question on a car?

Sure, an example of a vector question on a car could be: A car is traveling at 60 km/h north and then accelerates at a rate of 2 m/s² east. What is the car's final velocity and displacement after 10 seconds?

5. What are some real-world applications of vector questions on cars?

Vector questions on cars are used in various real-world applications, such as designing efficient race cars, predicting the trajectory of a car during a collision, and optimizing the movement of self-driving cars. They are also used in traffic engineering to analyze traffic flow and improve road safety.

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