Answer:
2 seconds
Explanation:
The function of height is given in form of time. For maximum height, we need to use the concept of maxima and minima of differentiation.
[tex]h(t)=-16t^{2}+64t+112[/tex]
Differentiate with respect to t on both the sides, we get
[tex]\frac{dh}{dt}=-32t+64[/tex]
For maxima and minima, put the value of dh / dt is equal to zero. we get
- 32 t + 64 = 0
t = 2 second
Thus, the arrow reaches at maximum height after 2 seconds.
