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initial velocity, vo = 400
initial velocity, vo = 400 mph = 586.67 fps
Part (a); final velocity, v = 250 mph = 366.67 fps
$v = v_o + at$
$366.67 = 586.67 - 10.7t$
$t = 20.56 ~ \text{s}$ answer
Part (b); t = 4 s
$v = v_o + at$
$v = 586.67 - 10.7(4)$
$v = 543.87 ~ \text{fps} = 32\,632.2 ~ \text{fpm} = 370.82 ~ \text{mph}$ answer