A clock has its minut hand 14 cm long. At what speed and at what velocity does the tip of the minute hand move in a half an hour duration ?

Explanation

Length of the minute had of the clock=14 cm
During a half an hour duration, the tip of the minute hand moves between two diameterically opption position. Thus, the distacne moved by the tip of the minute hand is equal to half the circumferenc of hte circular path along which the tip moves `(1)/(2) (2por)` where 'r' is the length of the minute hand.
`:.` Distance `=(1)/(2)xx2xx(22)/(7)xx14 cm=44`cm
Distacemetn of the tip of the minute hand is equal to the diameter of the circular path along which the tip moves =2r
`:.` Displacement `=2r =2(14) cm =28 m`
The time of travel of the tip of the minute, hand, `t=30 min =30xx60s =1800s`
Speed of the minute =`("Distance")/("time")`
`=(44cm)/(1800s)=(11)/(450)cms^(-1)`
Velocity fo the minute hand `=("Dispacement")/("time")`
`=(28cm)/(1800s)=(7)/(450)cm s^(-1)`