- Chain rule problem set, problem 4
- v = k √s
- Show a = constant
- a = dv/dt = k/(2√s) ds/dt
- = k/(2√s) v
- = k/(2√s) k√s
- = k2 / 2 which is constant
- Examples
- Cat and spot of light
- dx/dt = 3π sec2 a
- When a = 45 degrees = π/4 radians…
- sec2 π/4 = 2
- dx/dt = 6π aka about 18 - 19 feet/sec
- Sliding weight on rotating arm
- Cat and spot of light
- Finish dw/dt for spinning weight. Finish working it out yourself ahead of time.
- Estimating with derivatives
- Extrema
- Section 4.1