A conveyor belt at a recycling plant launches bottles and bottle caps into the air, so that an automatic image recognition device can count them. They land at the same height at which they are launched. Glass bottles are launched at an angle of 35.0° above the horizontal, and land after 0.500s. a) Solve for the initial speed at which the bottles are launched. b) Solve for the horizontal displacement at which the bottles land. Plastic bottle caps are launched at an angle of 40.0° above the horizontal, with a speed of 4.85 m/s. The image recognition sensor captures their pictures at a height of 0.350 m, as they are moving upwards. c) Solve for the time that the imaging sensor captures a bottle cap image.

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**Conveyor Belt Launching Bottles and Bottle Caps for Image Recognition**

A conveyor belt at a recycling plant launches bottles and bottle caps into the air, enabling an automatic image recognition device to count them. The bottles and caps land at the same height at which they are launched.

### Glass Bottles
Glass bottles are launched at an angle of 35.0° above the horizontal and land after 0.500 seconds.

**a) Solve for the initial speed at which the bottles are launched.**

**b) Solve for the horizontal displacement at which the bottles land.**

### Plastic Bottle Caps
Plastic bottle caps are launched at an angle of 40.0° above the horizontal with a speed of 4.85 m/s. The image recognition sensor captures their pictures at a height of 0.350 m, as they are moving upwards.

**c) Solve for the time that the imaging sensor captures a bottle cap image.**

**d) Solve for the angle of the velocity vector (from the horizontal) when a bottle cap image is captured.**
Transcribed Image Text:**Conveyor Belt Launching Bottles and Bottle Caps for Image Recognition** A conveyor belt at a recycling plant launches bottles and bottle caps into the air, enabling an automatic image recognition device to count them. The bottles and caps land at the same height at which they are launched. ### Glass Bottles Glass bottles are launched at an angle of 35.0° above the horizontal and land after 0.500 seconds. **a) Solve for the initial speed at which the bottles are launched.** **b) Solve for the horizontal displacement at which the bottles land.** ### Plastic Bottle Caps Plastic bottle caps are launched at an angle of 40.0° above the horizontal with a speed of 4.85 m/s. The image recognition sensor captures their pictures at a height of 0.350 m, as they are moving upwards. **c) Solve for the time that the imaging sensor captures a bottle cap image.** **d) Solve for the angle of the velocity vector (from the horizontal) when a bottle cap image is captured.**
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