# Projectile Motion – Cliff Problems

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Category: Entertainment

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## Presentation Transcript

### Projectile Motion – Cliff Problems :

Projectile Motion – Cliff Problems

### Do Now :

Do Now Recall that an object’s motion horizontally and vertically are independent. If I throw a football perfectly horizontally to the right at 5 m/s, what will its horizontal speed be after 1 second, if it hasn’t yet hit the ground? (ignore air resistance) 5 m/s ? m/s -10 m/s

Reading Quiz Everything away except notes if you have them No harm in guessing 3 Questions Good Luck

### Which of these pictures DID NOT appear in the reading? :

Which of these pictures DID NOT appear in the reading?

### Which of these terms was NOT discussed in the reading? :

Which of these terms was NOT discussed in the reading? Projectile Trajectory Centripetal Horizontal velocity

### Objectives / Announcements :

Objectives / Announcements SWBAT… Separate a projectile motion problem into its x and y pieces Complete simple cliff-style projectile motion problems Announcements Mover’s Project is Due Now (not Do Now, but Due Now)

### Docket :

Docket Do Now Review Topics / Clicker Q’s Y problem X Problem Cliff Problems! HW

### Docket :

Docket Do Now Review Topics / Clicker Q’s Y problem X Problem Cliff Problems! HW

### Do Now :

Do Now Recall that an object’s motion horizontally and vertically are independent. If I throw a football perfectly horizontally to the right at 5 m/s, what will its horizontal speed be after 1 second, if it hasn’t yet hit the ground? (ignore air resistance) 5 m/s ? m/s -10 m/s 0 m/s Is there anything pushing on the ball horizontally? No, only gravity pushes on it. If there is no push, speed doesn’t change! 5 m/s After 0.5 sec After 1 sec

### Docket :

Docket Do Now Review Topics / Clicker Q’s Y problem X Problem Cliff Problems! HW

### Mr. Stands on top of the school (19.6 meters tall) and contemplates tossing a Mac laptop off. He wants to make the laptop smash into the ground with a very high velocity. He considers dropping the laptop. He sets up the problem in his head. Which of the following is the correct problem setup? :

Mr. Stands on top of the school (19.6 meters tall) and contemplates tossing a Mac laptop off. He wants to make the laptop smash into the ground with a very high velocity. He considers dropping the laptop. He sets up the problem in his head. Which of the following is the correct problem setup?

### Fastest Responders (in seconds) :

Fastest Responders (in seconds)

### Participant Scores :

Participant Scores

### Mr. Stands on top of the school (19.6 meters tall) and tosses the laptop up in the air at 5 m/s intending to let it pass him by when it falls back down and have it slam into the ground below. At the last second, he has second thoughts and catches the laptop before it can fall down below. What is the velocity of the mac before it hits Mr. Kadin’s hands? :

Mr. Stands on top of the school (19.6 meters tall) and tosses the laptop up in the air at 5 m/s intending to let it pass him by when it falls back down and have it slam into the ground below. At the last second, he has second thoughts and catches the laptop before it can fall down below. What is the velocity of the mac before it hits Mr. Kadin’s hands? 9.8 m/s -9.8 m/s2 0 m/s 5 m/s -5 m/s

### Fastest Responders (in seconds) :

Fastest Responders (in seconds)

### Participant Scores :

Participant Scores

### Mr. Kadin then tosses the laptop up at 5m/s again, this time with more resolve. He doesn’t catch it and the mac continues down to smash into the sidewalk below. How fast will it be accelerating when it’s between the roof of the building and the sidewalk? :

Mr. Kadin then tosses the laptop up at 5m/s again, this time with more resolve. He doesn’t catch it and the mac continues down to smash into the sidewalk below. How fast will it be accelerating when it’s between the roof of the building and the sidewalk? -5m/s2 5m/s2 0m/s2 -9.8m/s2 a=?

### Fastest Responders (in seconds) :

Fastest Responders (in seconds)

### Participant Scores :

Participant Scores

### When the laptop finally does hit the ground, how fast will it be moving? (Remember that the laptop was thrown upwards at 5m/s) :

When the laptop finally does hit the ground, how fast will it be moving? (Remember that the laptop was thrown upwards at 5m/s) a=? Vi=5m/s Greater than 5 m/s down Less than 5 m/s down 0 m/s 9.8 m/s down

### Fastest Responders (in seconds) :

Fastest Responders (in seconds)

### Participant Scores :

Participant Scores

### Steve Jobs, CEO of Apple pushes Mr. Kadin off of the top of the school perfectly horizontally. He flies off the roof at 7 m/s to the right. What will Mr. Kadin’s horizontal speed be 1 second later while he’s still in the air? :

Steve Jobs, CEO of Apple pushes Mr. Kadin off of the top of the school perfectly horizontally. He flies off the roof at 7 m/s to the right. What will Mr. Kadin’s horizontal speed be 1 second later while he’s still in the air? 7 m/s 9.8 m/s -9.8 m/s 0 m/s 7 m/s ? m/s

### Fastest Responders (in seconds) :

Fastest Responders (in seconds)

### Participant Scores :

Participant Scores

### Docket :

Docket Do Now Review Topics / Clicker Q’s Y Problem X problem Cliff Problems! HW

### According to your notes… :

According to your notes… The horizontal piece of a projectile motion problem is constant velocity problem. The vertical piece of a projectile motion problem is a free-fall problem. Let’s investigate Mr. Kadin’s great fall in both the x and y dimension. Starting with y…

### According to the videos we’ve spoken about… :

According to the videos we’ve spoken about… If I shoot a bullet perfectly horizontally, and drop a bullet from the same height, they will fall in exactly the same way. Thus, we can set up a problem the same way. How long before I hit the ground? 7 m/s 0 m/s 19.6 m

### Docket :

Docket Do Now Review Topics / Clicker Q’s Y Problem X problem Cliff Problems! HW

### According to your notes… :

According to your notes… The horizontal piece of a projectile motion problem is constant velocity problem. The vertical piece of a projectile motion problem is a free-fall problem. We know I was in the air for 2 seconds, now we can see how far I traveled horizontally…

### According to the videos we’ve spoken about… :

According to the videos we’ve spoken about… We know that x motion is independent of y motion, so I’ll move in x as if nothing else was pushing or pulling on me. Thus, I’ll be in the air for 2 seconds as we calculated earlier. How far away from the building will I land? 7 m/s 7m/s 19.6 m

### Docket :

Docket Do Now Review Topics / Clicker Q’s Y Problem X problem Cliff Problems! HW

### Graphic Organizer :

Graphic Organizer Since I got a lot of positive feedback about “the boxes” for the previous type of problem, I’ll be doing it again. For this problem, we will have an x-box and a y-box The x problem is a constant velocity problem The y problem is a free-fall problem Let’s see how it would look for the problem we just did…

### Mr. Kadin flies off of the top of a 19.6 meter building at 7 m/s to the right. How far will he land from the school? :

Mr. Kadin flies off of the top of a 19.6 meter building at 7 m/s to the right. How far will he land from the school? Picture X Problem Y Problem 7 m/s 19.6 m ? Trig

### Mr. Kadin throws a baseball horizontally from 2 meters off of the ground towards home plate which is 10 meters away. How fast should he throw it so that it lands on the plate? :

Mr. Kadin throws a baseball horizontally from 2 meters off of the ground towards home plate which is 10 meters away. How fast should he throw it so that it lands on the plate? Picture X Problem Y Problem Trig 2m 10 m vi = ?

### You Try! :

You Try! You are horizontally throwing water balloons at your friend from on top of a ladder. If the person is 18 meters from your ladder, and you can throw at 22 m/s, how high up the ladder should you climb? Picture X Problem Y Problem ?m 18m vi = 22 m/s 3.3m

### Docket :

Docket Do Now Review Topics / Clicker Q’s Y Problem X problem Cliff Problems! HW