Projectile Motion (2) Homework - Labeling Points, Drawing Vectors

[kevin948]

Homework Statement

(I attached diagram)

The motion diagram shown on the attachment represents the position of a projectile in flight at 1 seconds intervals in tie. The projectile starts at the origin of the coordinate system.

a) Label the points 0 to 6

b) Draw the average velocity vectors for each interval on the diagram, labeling them

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V₁,V₁₂,...,V56 (- mean vector)
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c) Take the acceleration vector at point 1 to be a₁= V₁₂-V₁/△t
and draw this vector on the diagram with its tail at point 1. Repeat this procedure for points 2 through 5.

d ) Find the numercial values for each of the velocity vectors in pard (b) and each of the acceleration vectors in part (c), leaving them with the unspecified units for distance.

e) How mant meters does each distance unit represent?

Homework Equations

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The Attempt at a Solution

I have no idea about this problems...please help me

 

[Redbelly98]

I'll assume you can do (a), but just to be sure I'll mention that the "0" goes in the lower left and the "6" in the lower right.

(b) What is the definition of average velocity? That will be useful here.

 

[tomcue]

I would approach this problem by breaking it down into smaller, more manageable parts and using the appropriate equations and principles of physics to solve it. First, I would label the given points on the diagram as instructed in part (a). These points represent the position of the projectile at 1 second intervals, starting at the origin (0).

Next, in part (b), I would use the equation for average velocity (V=Δx/Δt) to find the average velocity for each interval. The average velocity vector would be drawn as a line segment with its tail at the starting point and its head at the ending point of the interval. These vectors would be labeled as V₁, V₂, V₃, V₄, V₅, and V₆, corresponding to the intervals 0-1, 1-2, 2-3, 3-4, 4-5, and 5-6, respectively.

In part (c), I would use the equation for acceleration (a=Δv/Δt) to find the acceleration vector at each point. The acceleration vector would be drawn as a line segment with its tail at the given point and its head at the next point, and would be labeled as a₁, a₂, a₃, a₄, and a₅, corresponding to points 1-2, 2-3, 3-4, 4-5, and 5-6, respectively.

For part (d), I would calculate the numerical values for each vector using the given information and the appropriate equations. The units for distance would be left unspecified as they were not given in the problem.

Lastly, in part (e), I would determine the conversion factor between the unspecified distance units and meters, using the given information and principles of dimensional analysis. This would allow me to convert the numerical values of each vector into meters.

Overall, this problem involves using the principles of projectile motion, such as position, velocity, and acceleration, to label and draw vectors on a motion diagram and calculate their numerical values. It also requires understanding of equations and principles of physics, as well as dimensional analysis, to solve the problem. By breaking it down into smaller parts and using a systematic approach, the problem can be solved effectively.