\fThe problem: Let 3 be the angle between the laser and the horizontal line which is at a go degree angle at the walksee drawing]. The laser point moves at a pace of 1cmfsec vercally on the wall between 45 degrees, and 115 degrees(-45 when the laser pointer is under the horizontal line). The laser is located 500 cm from the wall. a) Find an expression for {t} for how I? measured in degrees must change with respect to time if the laser is moving correctly, and pass the rnidljucnintfil = 0) of the wall at t = D b) At the start= the laser moves from :9 = -45 degrees, and moves to 45 degrees h} the end. How long does it take Jfor the laser to move from '45 degrees to 45 degrees? c] what is the anglespeed of {t} ? Measured in degrees. d] 1What is the angle-velocity when the laser pointer passes the midpoint of the wall? e) Find L'm 9ft) when t = +- OC