ax=100*cos(5*t)
ay=100*sin(5*t)
tx=π/5 s
vx=∫ax·dt, vx(0)=0
100*∫cos(5t) dt = 20*sin(5t) + C
vx(0)=20*sin(0) + C = 0
-20*sin(0) = C
C=0
vx(t)=20*sin(5t)
x=∫vx·dt, x(0)=0
x=∫20*sin(5t)·dt
x=-4*cos(5t)+C
x(0)=-4*cos(0)+C=0
C=4
x(t)=-4*cos(5t)+4
x(π/5)=-4*cos(π)+4
x(tx)=8 m
vy=∫ay·dt, vy(0)=0
100*∫sin(5t) dt = -20*cos(5t) + C
vy(0)=-20*cos(0) + C = 0
20 = C
vy(t)=-20*cos(5t)+20
y=∫vy·dt, y(0)=0
y=∫(-20*cos(5t)+20)·dt
y=-4 (sin(5t) - 5t) + C
y(0)=-4*(sin(0)-0)+C=0
C=0
y(t)=-4*(sin(5t) - 5t)
y(π/5)=-4*(sin(π) - π)
y(tx)≈12,57 m
