Answer:
The time seconds elapses between two consecutive times that the swing is at its maximum height 'h' = 2
Step-by-step explanation:
<u>Explanation</u>:-
<u><em>Step(i)</em></u>:-
Given function ....(i)
By using derivative formulas
<u>Step(ii)</u>:-
Differentiating equation(i) with respective to 't'
...(ii)
Equating zero
on simplification , we get
now we use formulas
sin 0 = 0 and sinπ = 0
<em>General solution </em>
Cancellation 'π' on both sides, we get
Dividing '2' on both sides , we get
Again differentiating with respective to 't' , we get
Put t= 3/2 and simplification
<em>The maximum height</em>
seconds elapses between two consecutive times that the swing is at its maximum height 'h' = 2
<u>Conclusion</u>:-
<em>The time </em><em> seconds elapses between two consecutive times that the swing is at its maximum height 'h' = 2</em>