Presentation is loading. Please wait.

Presentation is loading. Please wait.

UNIT 2 Two Dimensional Motion And Vectors 1. ConcepTest 3.5 Dropping a Package You drop a package from a plane flying at constant speed in a straight.

Similar presentations


Presentation on theme: "UNIT 2 Two Dimensional Motion And Vectors 1. ConcepTest 3.5 Dropping a Package You drop a package from a plane flying at constant speed in a straight."— Presentation transcript:

1 UNIT 2 Two Dimensional Motion And Vectors 1

2 ConcepTest 3.5 Dropping a Package You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will: quickly lag behind the plane while falling 1) quickly lag behind the plane while falling 2) remain vertically under the plane while falling 3) move ahead of the plane while falling 4) not fall at all 2

3 ConcepTest 3.5 Dropping a Package You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will: quickly lag behind the plane while falling 1) quickly lag behind the plane while falling 2) remain vertically under the plane while falling 3) move ahead of the plane while falling 4) not fall at all same horizontal velocity maintain x-direction Both the plane and the package have the same horizontal velocity at the moment of release. They will maintain this velocity in the x-direction, so they stay aligned. Follow-up: What would happen if air resistance is present? 3

4 ConcepTest 3.6bDropping the Ball II In the previous problem, which ball has the greater velocity at ground level? 1) the “dropped” ball 2) the “fired” ball 3) neither – they both have the same velocity on impact 4) it depends on how hard the ball was thrown 4

5 ConcepTest 3.6bDropping the Ball II In the previous problem, which ball has the greater velocity at ground level? 1) the “dropped” ball 2) the “fired” ball 3) neither – they both have the same velocity on impact 4) it depends on how hard the ball was thrown same vertical velocity “fired” ball has a larger net velocity Both balls have the same vertical velocity when they hit the ground (since they are both acted on by gravity for the same time). However, the “fired” ball also has a horizontal velocity. When you add the two components vectorially, the “fired” ball has a larger net velocity when it hits the ground. Follow-up: What would you have to do to have them both reach the same final velocity at ground level? 5

6 Monday September 26 Projectiles: Launch At Any Angle 6

7 TODAY’S AGENDA  Projectile Motion  Mini-Lesson: Launch At Any Angle  Hw: Complete Practice D Problems (all) UPCOMING…  Tues:LAB 3: Projectile Motion  Wed:More Projectile Motion  the Boards  Fri:Problem Quiz 2 Projectile Motion  Access to Reading Quizzes 11:30pm  the Boards  Tues:CH 3 TEST Monday, September 26 7

8 8 Demonstration with Dr. Walter Lewin Demonstration with MythBusters

9 9 General Launch Angle

10 10 General Launch Angle

11 11 Resolving the Velocity

12 12 Resolving the Velocity

13 13 Projectile Motion Equations Eq 1 Horizontal Velocity Eq 2 Vertical Velocity Eq 4 Horizontal Displacement Eq 3

14 14 Eq 6Range Projectile Motion Equations Eq 5 Vertical Displacement Eq 7 Time to the Top

15 A golfer hits a golf ball at an angle of 25.0˚ to the ground. If the golf ball covers a horizontal distance of m, what is the ball’s maximum height? (Hint: At the top of its flight, the ball’s vertical velocity component will be zero.) Consider the Range equation: Solve for the Now find time to the top: Sample Problem 15

16 Find the vertical height at 2.68 s : 16

17 17 Sample Problem A potato is shot from a potato gun at m/s at an angle of 45.0˚. The potato is shot from a bridge 50.0 m above the water. Find the following: a) total time of flight b) final velocity just before hitting the water c) total horizontal displacement d) maximum vertical displacement above the water

18 What must I do first? Break the initial velocity into x- and y- components. Which question is easiest to answer? Find the total time of flight Which equation has all the information but time? By quadratic equation, t = 15 s 18

19 Without the quadratic formula solve for t: i.Find final velocity in y-axis ii.Find time 2 STEPS: 19

20 What is the final velocity? 20

21 What is the total horizontal displacement? What is the maximum vertical displacement above the water? 21

22 22 Sample Problem.82 s

23 END 23


Download ppt "UNIT 2 Two Dimensional Motion And Vectors 1. ConcepTest 3.5 Dropping a Package You drop a package from a plane flying at constant speed in a straight."

Similar presentations


Ads by Google