Non-symmetric Projectile Motion

Last day of Angled Launch

Announcements

• ‘Absent’ tomorrow for testing

• Quest HW4 is due Thursday at 11am

Non-symmetric Projectile Motion (Angled launch)

Everything isn’t symmetric.

E.g. Monkey and the hunter and launches from different elevations

Example 1: Firefighter

Process

1. Find the time it takes for the water to get to the building

2. Find the height that the water is at that time

Example 2: Field Goal

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

Will the kick be good?

What velocity (magnitude and direction) will the ball reach the goal posts with?

Process• Will the kick be good?

1) We need to know how long it takes for the ball to reach the goal posts.

2) We need to know the height of the ball at that time to compare it to the height of the goal posts.

• What velocity does the ball reach the goal posts with?

3) To find the velocity of the ball as it passes the plane of goal posts, we need its vertical and horizontal velocities at that time.

4) We can then use this information to get the resultant and angle.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

1) We need to know how long it takes for the ball to reach the goal posts.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

1) We need to know how long it takes for the ball to reach the goal posts.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

2) We need to know the height of the ball at that time to compare it to the height of the goal posts.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

2) We need to know the height of the ball at that time to compare it to the height of the goal posts.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

2) We need to know the height of the ball at that time to compare it to the height of the goal posts.

Does he make it?

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

3) To find the velocity of the ball as it passes the plane of goal posts, we need its vertical and horizontal velocities at that time.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

3) To find the velocity of the ball as it passes the plane of goal posts, we need its vertical and horizontal velocities at that time.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

3) To find the velocity of the ball as it passes the plane of goal posts, we need its vertical and horizontal velocities at that time.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

4) We can then use this information to get the resultant and angle.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

4) We can then use this information to get the resultant and angle.

During a football game, a field goal is attempted from just outside the thirty yard line. The total distance from the ball to the goal posts is 40 meters (since the goal posts are located at the back of the end zone). The crossbar of the goal posts is 7.3m high. To be good, a field goal attempt must pass over the crossbar. The velocity of the ball after being kick is 25 m/s at an angle of 37º above the horizontal.

4) We can then use this information to get the resultant and angle.