Astudent is swinging a ball on a string overhead in a horizontal plane. the string initially has length and the ball is moving with an initial speed . the student decides to see how fast they can spin the ball, so they begin moving it faster and faster with a constant tangential acceleration . however, they know that the string is close to breaking, so they decide to keep letting the string get longer and longer in order to keep the tension in the string constant. find expressions for the length of the string and the total acceleration (magnitude and direction) as a function of time, , , and . you may ignore the effect of gravity on the ball.

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.  

this would be about 43%