A Projectile Is Fired Straight Upward from the Ground Level $112$

Multiple Choice

A projectile is fired straight upward from the ground level with an initial velocity of $112$ feet per second, so that its height h at any time t is given by $h = - 16 t ^ { 2 } + 112 t$ , where h is measured in feet and t is measured in seconds. During what interval(s) of time with the height of the projectile exceed $160$ feet?

A) $( 2,5 )$
B) $( 2,7 )$
C) $( 5,7 )$
D) $( 0,2 ) , ( 5,7 )$
E) $( 1,7 )$