Question

Ancient slingshots were made form straps of leather that cradled a rock until it was released. One would spin the slingshot

Answer 1

Answer:

Step-by-step explanation:∠ MON= -45°→→ angle lies in fourth quadrant.

Where, MN represents the path of rock, which is a straight line.

Taking the Horizontal and vertical component of OM,to get the coordinate of point M

The coordinate of point M will be [1.25 cos (-45°), 1.25 sin(-45°)]=

Taking O as center and Coordinates of O as (0,0) and Coordinates of M as () we get the equation of line OM as

y= tan (315°)× x

As general form of equation of line passing through the origin will be,

y= m x, where m is angle made by line with positive direction of x axis.

m= (360-45)°= 315°

→→y=-x

→→  y +  x=0

equation of line perpendicular to OM will be

→→ x -  y + k=0

Since it passes through .

→→

So, equation of initial path of stone will be: