help **Problem Statement:**A boy throws a baseball onto a roof and it rolls back down and off the roof with a speed of 4.55 m/s. If the roof is pitched at 28.0° below the horizon and the roof edge is 4.10 m above the ground, find the time the baseball spends in the air and the horizontal distance from the roof edge to the point where the baseball lands on the ground.**Parts of the Problem:**(a) Calculate the time the baseball spends in the air (in seconds).- Answer Box: ( ) s(b) Calculate the horizontal distance from the roof edge to the point where the baseball lands on the ground (in meters).- Answer Box: ( ) m**Additional Help:**There are two buttons for additional help:- "Read It"- "Watch It"These may link to resources such as articles or videos to aid in understanding the problem.

Name: help **Problem Statement:**A boy throws a baseball onto a roof and it
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: help **Problem Statement:**A boy throws a baseball onto a roof and it rolls back down and off the roof with a speed of 4.55 m/s. If the roof is pitched at 28.0° below the horizon and the roof edge is 4.10 m above the ground, find the time the basebal

Given : u=4.55 m/sθ=38°h=1.0 m Diagram is showing baseball movement as well as force component where u sinθ and u cosθare vertical and horizontal component of velocity. H is the height of roof and D is distance baseball will travel in horizontal direction. Part (a): Calculation of total time baseball spends in air By applying equation of motion, h=uyt+12gt24.1 =4.55 sin28° t +12 x 9.8(t2)4.1 =2.136t+4.9t2 4.9t2+2.136t-4.1=0 using t=-b±b2-4ac2a where a = 4.9 b =2.136 c=-4.1 On solving quadratic equation we will get 2 value of t t=0.722 and t= -1.15 We will take the positive value as time cannot be in negative Hence t=0.722 secPart (b): Calculation of total horizontal distance baseball travels, D = 455 cos 28° = 4.55 x 0.88° =4.004 mAnswer: Part (a): Total time baseball spends in air is equal to, t = 0.722 sec Part (b): Total horizontal distance baseball travels is equal to, D = 4.004 m