Answer:
the height will be maximum at 1.5
Step-by-step explanation:
We have been given the function:
[tex]h(t)=0.5\cdot sin(\pi t+\frac{\pi}{2})+1[/tex]
Height depends on [tex](sin(\pi t+\frac{\pi}{2})[/tex]
[tex](sin(\pi t+\frac{\pi}{2})[/tex]
This will be maximum when value of its is 1
And value will be 1 when t=0.
So, substitute the value of t=0 in given function:
[tex]h(0)=0.5\cdot sin(\pi 0+\frac{\pi}{2})+1[/tex]
[tex]h(0)=0.5\cdot sin(\frac{\pi}{2})+1[/tex]
[tex]\Rightarrow h(0)=0.5(1)+1[/tex]
[tex]h(t)=1.5[/tex]
Hence, the height will be maximum at 1.5
