The displacement is the vector with
magnitude
distance between position at 5 sec and position at 8 sec
and direction
direction from position at 5 sec to position at 8 sec .
The route followed during the time interval is irrelevant.
The formula for maximum distance is
X = (V^2 / g) * sin (2 * theta)
10 = (V^2 / 9.8) * sin (2 * 20)
10 = (V^2 / 9.0) * sin(40)
10 = (V^2 / 9.8) * 0.324
v^2 = (10 / 0.324) * 9.8
V^2 = 302.47
v = 17.39 meters/sec (takeoff speed)
The horizontal speed is = Takeoff Speed * Cos(20) = 17.39 * 0.910 = 16.341 meters / sec
Its to blury for me to see it
Well, the answer is obviously D, because it's the only one that starts with 3.134.
Moving the decimal place 9 times to the right will give us:
3,134,000,000