What is the paper's speed relative to the ground?

In summary, the delivery boy is traveling at 5.00 mph in his pickup truck and throws the paper at 16.0 mph as he passes the driveway. To land in the driveway, he should throw the paper almost straight horizontal with some slight compensation in the south direction. The paper's speed relative to the ground is 2v. To find the angle, use polar coordinates with the vectors [5,0] for the truck and [16,@] for the paper, with the desired landing point at [x,y]. However, using these vectors may result in an incorrect angle, and it is recommended to adjust the angle with respect to the east-west and north
  • #1
aliciaw0
17
0
The paper delivery boy tries to throw the paper into your narrow driveway without slowing down. His pickup truck travels at 5.00 mph, and he throws the paper at 16.0 mph just as the truck passes the driveway.

in what direction should he throw the paper in order for it to land in the driveway?

What is the paper's speed relative to the ground?

i know the vertical velocity is 16 and the horizontal is 5, but I am not sure how to relate them and find the angle.

and the papers speed relative to the ground is that simply 2v?
 
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  • #2
Don't think of vertical and horizontal here. Think about east-west and north-south.

The East-west axis is the street and the north-south axis is the driveway. The truck is traveling along the east-west axis and the paper's is along the north-south axis.
 
  • #3
use vecters for this one

you have the vector [5,0] for the truck and [16,@] for the paper and you want the paper to land at [x,y].
 
  • #4
do u mean [5,0] and [0,16]

because i used vectors and i got the angle of 72.6 deg. and that was wrong
 
  • #5
Your angle is with respect to the wrong axis then. Hes going to throw it almost straight horizontal with some slight compensation in the south direction.
 
  • #6
no the vectors are in polar coordinates
 

1. What is the concept of "paper's speed relative to the ground"?

The concept of "paper's speed relative to the ground" refers to the speed at which the paper is moving in relation to the ground. It takes into account both the paper's own velocity and the velocity of the ground on which it is moving.

2. How is the paper's speed relative to the ground calculated?

The paper's speed relative to the ground is calculated by determining the difference in velocities between the paper and the ground. This can be done by subtracting the velocity of the ground from the velocity of the paper, or by using vector addition to find the resultant velocity.

3. What factors can affect the paper's speed relative to the ground?

The paper's speed relative to the ground can be affected by factors such as wind resistance, friction, and the surface of the ground. These factors can cause the paper to slow down or speed up in relation to the ground.

4. How does the paper's speed relative to the ground impact its trajectory?

The paper's speed relative to the ground can impact its trajectory by influencing the paper's direction and distance traveled. A higher speed relative to the ground can result in a longer trajectory, while a lower speed can result in a shorter trajectory.

5. Why is it important to consider the paper's speed relative to the ground?

Considering the paper's speed relative to the ground is important in understanding its motion and predicting its trajectory. It also allows for a better understanding of the forces acting on the paper and how they affect its movement.

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