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Page 1: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

Angled LaunchPlace homework on my desk

Page 2: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

A quarterback throws a football at an angle 20º to the horizontal. The ball lands 30 meters downfield 1.5s after it was thrown.

A) What is the horizontal component of its velocity?

B) What was the initial launch speed of the football?

Page 3: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

A quarterback throws a football at an angle 20º to the horizontal. The ball lands 30 meters downfield 1.5s after it was thrown.

A) What is the horizontal component of its velocity?

Page 4: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

A quarterback throws a football at an angle 20º to the horizontal. The ball lands 30 meters downfield 1.5s after it was thrown.

B) What was the initial launch speed of the football?

Page 5: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

Announcement

• HW2 is now live - Due on Thursday at 11am

• Solutions are available on Quest for HW1

Page 6: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

Angled LaunchConceptual

Page 7: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

Popular Angles

• 45º = Max Range (depends on ttotal, Vo,x, Vo,y)

• 90º = Max height (depends on Vo,y)

• 90º = Max time of flight (ttotal depends on height)

Page 8: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

Symmetry around 45º

Page 9: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

Practice

Page 10: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different
Page 11: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different
Page 12: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different
Page 13: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different

There is symmetry about 45º.

Starting from 0º, the angle increase results in a height increase and continues to do so until 45º.

Then, the angle increase will result in a decrease of range after reaching 45º, but this

decrease acts proportionally to the original increase in angle.

Page 14: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different
Page 15: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different
Page 16: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different
Page 17: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different
Page 18: 6 Conceptual launched angle - JERSEY SUPERB REPLICApaguayphysics.weebly.com/uploads/8/8/9/0/88908304/6_conceptual... · B2-RT21: CANNONBALLS—TIME IN AIR Cannonballs with different