Question

The height, in feet, of an arrow shot from a bow in an upwards direction, is modeled by the function f(t)= -16t^2+96t+5, where t represents the time in minutes. During which interval is the arrow going up.

A. 0<t<3
B. 3<t<6
C. 5≤t ≤149
D. 16<t<96

Answer 1

The vertex is at x = -96/(2*(-16)) = 3, so any interval ending in x=3 is an interval in which the function is increasing. The appropriate selection is
&nbsp; A. 0<t<3

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The given equation for ballistic motion on Earth is appropriate for units of t being seconds, not minutes.