Answered

Find solutions to your problems with the expert advice available on IDNLearn.com. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.

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 same height at which they are launched. Glass bottles are launched at an angle of 35.0 degrees above 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 bottle land

Sagot :

Onyebuchinnajiidn

(a) The initial speed at which the bottles are launched is 4.27 m/s.

(b) The horizontal displacement at which the bottle land is 1.75 m.

Initial speed of the bottle

The initial speed of the bottle is calculated as follows;

[tex]T = \frac{2usin\theta}{g}[/tex]

where;

  • T is time of flight
  • u is the initial speed

2usinθ = Tg

u = Tg/(2sinθ)

u = (0.5 x 9.8)/(2 x sin35)

u = 4.27 m/s

Horizontal displacement of the bottle

X = u²sin(2θ)/g

X = (4.27² x sin(70))/(9.8)

X = 1.75 m

Learn more about projectile here: https://brainly.com/question/12870645

#SPJ1

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.