Answer:
h = 1296 feet
Step-by-step explanation:
Given that,
The vertical position of the object is :
[tex]h(t)=-16t^2+160t+896[/tex] .....(1)
We need to find the highest height reached by the object. For highest height,
Put dh/dt = 0
[tex]\dfrac{d}{dt}(-16t^2+160t+896)=0\\\\-32t+160\\\\t=\dfrac{160}{32}\\\\t=5\ s[/tex]
Put t = 5 in equation (1).
[tex]h(5)=-16(5)^2+160(5)+896\\\\=1296\ ft[/tex]
So, the height reached by the object is 1296 feet.
