Physics - Projectile Motion Continues

OPENING QUESTION:

Why is it that an object launched with 100% horizontal velocity will still fall even if it has no initial vertical motion at all?

LEARNING OBJECTIVES:

I will use yesterday's formative quiz to develop a study plan for projectile motion.

CALENDAR: Projectile Motion Test on Friday, Vertical Motion retakes are tomorrow or Friday morning @ 6:30

WORDS O' THE DAY:

  • Projectile Motion - Up/Vertical (y motion) AND Out/Horizontal (x motion)

FORMULAE OBJECTUS:

    1a) vfx = vix +axt

    1a) vfy = viy +agt

    2a) xf = xi + vit + 1/2at2

    2b) yf = yi + vit + 1/2agt2

    3a) vfx2 - vix2 = 2a∆x

    3b) vfy2 - viy2 = 2ag

     

WORK O' THE DAY:

Please take out yesterday's formative quiz (If you don't have it, you should still have a pretty good idea where you are comfy and where you need work!)

Consider the path of an object in projectile motion-- what parts of that motion do you need to review?

Let's reshuffle ourselves a bit--

  • Group A: If you need to work on choosing which formulae/equations to use for which part of the motion

Start with yesterday's problem, only this time let's say the object has an initial velocity of 65 m/s at an angle of 31 degrees to the horizontal.

Sketch that situation and include all initial conditions implied or explicitly stated

Work in a round robin where each person contributes one part of the process. If anyone is unclear on how to proceed, all they need to do is ask a leading question to the group. The group will pause and discuss that situation and come to a consensus (everyone must agree) on what to do next.

In an effort to make sure that everyone gets a chance to talk, please make a double extra effort to ensure that the same person doesn't speak more than once during that consensus discussion.

If the group gets quiet, then someone can ask another question and the process restarts.

Move on to the guided/annotate worksheet when you're done

  • Group B: If you would like to work on just the vertical aspects of the motion
    • Calculate vix and viy
    • Time to hmax
    • Calculating hmax
    • Time to fall from hmax

I have a guided process/comment worksheet, please work with a partner to step through that. It is just about meaningless if you crash through it. That's why there is the 'annotation/comments' section for you to explain why each step is done the way shown.

  • Group C: If you'd like to work on more challenging problems

A cannon fires a projectile (non-explosive!) with an initial velocity of 65 m/s at an angle of 31 degrees to the horizontal at the bottom of a canyon. Can we determine how high up the opposite side of the canyon wall the projectile will hit if the canyon is 275 m wide and the canyon wall is vertical?

Sketch all conditions, show all your work and annotate each step with clear/concise comments of what you did and why you did it!

(This will likely take a few tries, so do some free hand/sketch work first to get an idea of an approach that you think might work!)

  • Group D: Different choice? Let's talk

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