Applied Optimization: Videos & Practice Problems

Maximum speed: $9\pi\ \text{cm/s}$

Times at max speed: $t=\frac{1}{6},\frac{1}{2},\frac{5}{6},\frac{7}{6},\frac{3}{2},\frac{11}{6}\ \text{s}$

Position at max speed: $y=0\text{ cm}$

Acceleration at max speed: $0\ \text{cm/s}^2$

Maximum speed: $9\pi\ \text{cm/s}$

Times at max speed: $t=\frac{1}{6},\frac{1}{2},\frac{5}{6},\frac{7}{6},\frac{3}{2},\frac{11}{6}\ \text{s}$

Position at max speed: $y=9\text{ cm}$

Acceleration at max speed: $0\ \text{cm/s}^2$

Maximum speed: $9\pi\ \text{cm/s}$

Times at max speed: $t=\frac{1}{6},\frac{1}{2},\frac{5}{6},\frac{7}{6},\frac{3}{2},\frac{11}{6}\ \text{s}$

Position at max speed: $y=0\ \text{cm}$

Acceleration at max speed: $1{\text{cm/s}}^2$

Maximum speed: $18\pi \text{ cm/s}$

Times at max speed: $t=\frac{1}{6},\frac{5}{6},\frac{7}{6},\frac{11}{6}\text{ s}$

Position at max speed: $y=0\ \text{cm}$

Acceleration at max speed: $0\ \text{cm/s}^2$