Astone tied to the end of a string is whirled around in
avertical circle of radius r. find the critical speed below
whichthe spring would become slack at the highest point.

Explanation:

radius of circle = R

Let T be the tension in the string.

At highest point A, the tension is equal to or more than zero, so that it completes the vertical circle. tension and weight is balanced by the centripetal force.

According to diagram,

T ≥ 0

So,

Where, v be the speed at the highest point, which is called the critical speed.

Thus, the critical speed at the highest point to complete the vertical circle is  .

a) are muscles that have bands.

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  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.