Kinematics Exam Prep II | UP and Down motions - Step‑By‑Step Guide - Physics I

Описание: Take the quiz when ready: https://1drv.ms/w/c/2713457aa143ce7f/...

Kinematics Problems II | Dropping a Package While Ascending + Max Height of a Bullet | Full Step‑By‑Step Solutions
In this lesson from the MathSupport channel, ‪@mathsupportnow‬ , we solve two challenging kinematics problems involving vertical motion, initial upward velocity, gravity, and quadratic equations. These examples go beyond the basics and show how to correctly apply the Big Five equations when objects are moving upward before falling, or when they reach maximum height in projectile motion. Every step is broken down clearly so you can master the reasoning behind each calculation.

✅ What You’ll Learn in This Video
🔹 Problem 1 — Dropping a Package from an Ascending Helicopter
Understanding why the initial velocity is upward
Setting displacement as negative when falling to the ground using a formula for d
Recognizi.ng when the equation becomes quadratic
Solving for time using the quadratic formula
Why the negative root must be rejected
Final result: package reaches the ground in 5.83 s

🔹 Problem 2 — Bullet Fired Straight Up Using V ^2 to find maximum height
Why 𝑣𝑓 = 0 at the top of the trajectory
Computing the bullet’s peak height: 1,690 m (≈1.7 km)
Finding time to reach the top
Using symmetry of motion to find total time in the air
Understanding why acceleration is never zero during the entire flight
(gravity acts at all times)


00:00 – Introduction: Two advanced kinematics problems
00:08 – Problem 1 setup: Helicopter ascending + package dropped
00:36 – Identifying initial velocity, displacement, and acceleration
01:32 – Using the displacement equation
02:13 – Why this becomes a quadratic equation
03:14 – Quadratic formula setup
04:46 – Choosing the correct (positive) root
05:41 – Common mistake: misunderstanding initial velocity
07:08 – Problem 2 setup: Bullet fired straight up
07:50 – Using Vf^2 to find max height
09:07 – Time to reach the top
10:32 – Total time in the air
11:19 – Trick question: When is acceleration zero? (Never)
12:22 – Final reminders & quiz link

This video is ideal for:
🎯 Science 10
🎯 Physics 11 (Kinematics Unit)
🎯 AP Physics 1 Foundations
🎯 Students preparing for quizzes, tests, or final exams
🎯 Teachers and tutors needing clear worked examples

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#Kinematics #ProjectileMotion #VerticalMotion #Physics11
#Science10 #QuadraticFormula #Mathsupport #BigFiveEquations