Answer:
The time
seconds elapses between two consecutive times that the swing is at its maximum height 'h' = 2
Explanation:
Explanation:-
Step(i):-
Given function
....(i)
By using derivative formulas


Step(ii):-
Differentiating equation(i) with respective to 't'
...(ii)

Equating zero


on simplification , we get

now we use formulas
sin 0 = 0 and sinπ = 0
General solution


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

The maximum height



seconds elapses between two consecutive times that the swing is at its maximum height 'h' = 2
Conclusion:-
The time
seconds elapses between two consecutive times that the swing is at its maximum height 'h' = 2