How to Solve Projectile Motion Problems (Step by Step)

Learn to solve projectile motion problems easily from your textbook step by step. Learn which equations to use, when to use them, and what to do right after you read the question. Learn how to establish a coordinate system, write down what you know, and then using equations to solve for unknown variables.
First Example Ball Throw: • It is observed that th...
Second Example Balloon: • The balloon A is ascen...
Third Example Fired Projectile: • A projectile is fired ...
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Book used: R. C. Hibbeler and K. B. Yap, Mechanics for engineers - dynamics. Singapore: Pearson Education, 2013.

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[@QuestionSolutions]

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[@QuestionSolutions]

Many thanks for your kind words. Best of luck with your studies :)

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[@QuestionSolutions]

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[@QuestionSolutions]

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[@jakezulyani4313]

So I've seen recent comments with an immediate response. I want to ask. Is it easier to take a general approach when it comes to solving projectiles? I have studied through splitting projectiles to cases such as thrown horizontally and at an angle but long term I am not able to retain it. I like your approach better where you just generalize everything.

[@QuestionSolutions]

I try to give an immediate response unless I am sleeping 😅 I think generalizing it is better and easier to see what is happening. It's also a lot easier to plug values into equations. If you can't retain the splitting method, switch to the general method. Really, you should do whatever works for you, that you are comfortable with.

[@MarkIskander-w3e]

Love the videos simplifies everything. Quick question for the second example, if the balloon is ascending and moving horizontally, when the bag is dropped, because of inertia the bag should continue moving for a very brief period in the direction of both components of velocity. Also because it isn't being dropped straight down the distance rom x_0 is also greater and not 0, so the horizontal distance isn't 0 because the bag moved due to the velocities. This means that the bag would take longer to hit the ground. Do we neglect it because it's a very short period from when it's dropped to hitting the ground? Can I get some clarification on this?

[@QuestionSolutions]

I am going to give you a weird answer to your question. You can ignore the things you thought about because it hasn't been covered in the book/class/course yet. In other words, inertia hasn't been covered yet in your class when you do projectile motion, because projectile motion is the beginning, you use a simple set of equations to solve for the solution, ignoring a lot of real factors that must be accounted for if it was real life.

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[@QuestionSolutions]

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[@amrelnegamy1616]

In question number one how to get the Va and the angle from the calculator??

[@QuestionSolutions]

You won't be able to get it directly from a calculator before going through a few steps. You need to use the substitution method to isolate for a single variable and then solve. You'll also need the trig identity, tan = sin/cos. Isolate for VA in the first equation, then plug that into the second equation and you can solve for theta.

[@Divinesview-h7o]

Thanks sir

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[@silvajokes]

thanks lot

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[@ell7awy]

how you solved the equations ? (I have an exam tomorrow)

[@QuestionSolutions]

You can use substitution or elimination. You should be familiar with those methods from high school. If not, please refresh by searching for "simultaneous equation solving using substitution." 👍

[@ell7awy]

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[@QuestionSolutions]

@@ell7awy You're very welcome 👍

[@sushanlamichhane6232]

How can we solve same numerical when hill is inclined...

[@QuestionSolutions]

I have a few examples solved with inclined hills, please take a look: kzbin.info/www/bejne/sJOol5asdqqWZ6c kzbin.info/www/bejne/h6GXk4unjs93aaM kzbin.info/www/bejne/gaKpepKQrMplm6s kzbin.info/www/bejne/mKTOc3d-jKl0g5Y

[@MdJunayed]

how do you solve projectile problems but in inclined surface?

[@QuestionSolutions]

Like if a ball is thrown at an incline? The method is the same, but you will have to use trigonometry to figure out the final y location, and x displacement. As long as its constant accelerations (so not considering air resistance, etc), you can keep using the kinematics equations.

[@MdJunayed]

yes, I meant something like that i have a question: if a ball is thrown in inclined surface, will it be considered parabolic on the inclined surface or on the flat surface?

[@QuestionSolutions]

@@MdJunayed The path it takes, regardless of the surface will be parabolic since the x component of velocity will be the same since wind resistance isn't accounted for, while gravity will slowly bring it down. The only thing you have to consider is the initial and final locations. I hope that makes sense, let me know if it doesn't, I'll try to explain it differently.

[@QuestionSolutions]

@@MdJunayed Is it something like this? kzbin.info/www/bejne/mKTOc3d-jKl0g5Y

[@MdJunayed]

yeah exactly as that... ok let me ask point to point. should I consider θ with the flat surface, or with the inclined surface! I got a question in my test where two angles were given one is the incline with flat, say 20* other is the initial angle with the incline, say 30* do i have to add those angles and put it into the equations?

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