Two rockets are launched from the ground at the same time. the height of rocket a in feet is modeled by

h(t)=-16t^2 + 128t

where t is the time in seconds after the launch the height of rocket b in feet is shown in the graph.

how do the maximum heights of the rockets compare?

a. rocket a goes about 130 ft higher than rocket b

b. rocket a goes about 148 ft higher than rocket b

c. rocket b goes about 16 ft higher than rocket a

d. rocket b goes about 46 ft higher than rocket a