What is the significance of h in relation to finding the distance AB?

[princejan7]

Homework Statement

http://postimg.org/image/bh4tzmd4l/

Can someone explain to me what "acceleration of the truck relative to the crate means"?

What should I do first in trying to solve this?

 

[Andrew Mason]

Homework Statement

http://postimg.org/image/bh4tzmd4l/

Can someone explain to me what "acceleration of the truck relative to the crate means"?

What should I do first in trying to solve this?

It means the difference between the acceleration of the truck and the acceleration of the crate. From that, I think you can figure out what you have to do in order to start.

AM

 

[princejan7]

It means the difference between the acceleration of the truck and the acceleration of the crate. From that, I think you can figure out what you have to do in order to start.

AM

thanks, I have another question

http://postimg.org/image/81muw26tl/

I don't understand what the value h is in this question and how its relevant to finding the distance AB

 

[haruspex]

thanks, I have another question

http://postimg.org/image/81muw26tl/

I don't understand what the value h is in this question and how its relevant to finding the distance AB

You are to take h as the height of the bottom end of the ramp above the surface of the slope immediately below it. The slope continues down at angle beta from there.

 

[HalfLostAndSearching]

The letter h in this problem represents the height of the crate above the ground. This is significant because it is a key factor in determining the distance AB, which is the horizontal distance between the truck and the crate. The height of the crate will affect the angle at which it is launched and therefore the distance it will travel horizontally.

As for the acceleration of the truck relative to the crate, this refers to the change in the truck's velocity compared to the crate's velocity. In this problem, the truck is accelerating at a constant rate, which means its velocity is changing over time. The crate, on the other hand, is not accelerating and therefore its velocity remains constant. This information can be used to calculate the time it takes for the crate to reach point B.

To solve this problem, you should first identify the known variables and the unknown variable. In this case, the known variables are the height of the crate (h), the acceleration of the truck (a), and the initial velocity of the truck (v0). The unknown variable is the distance AB. From there, you can use equations of motion, such as the kinematic equations, to solve for the unknown variable. It is also helpful to draw a diagram and label all the known and unknown variables to visualize the problem.