Answer:
the parametric equations for the circular path are
x= 300 m *cos (3.695 min⁻¹ t)
y= (-300 m) *sin(3.695 min⁻¹ t)
Step-by-step explanation:
the parametric equations of the go-kart are
x= R*cos (ω*t)
y= R*sin (-ω*t)= -R*sin(ω*t) ( since the rotation is counterclockwise)
where R= radius , ω= angular velocity , x₀ and y₀ are the initial position in the x- axis and y- axis respectively and the parameter t= time ( in minutes)
since
R= 300 m
ω= 2π/ 1.7 min = 3.695 min⁻¹
therefore the equations for the circular path are
x= 300 m *cos (3.695 min⁻¹ t)
y= (-300 m) *sin(3.695 min⁻¹ t)
