An arrow, starting from rest, leaves the bow with a speed of 28.8 m/s. If the average force exerted on the arrow by the bow was increased 2 times and the arrow was accelerated over the same distance, then with what speed would the arrow leave the bow?

Answer 1

Use the classical mechanic equations of force, displacement, and velocity under constant acceleration from rest.
(1)... F = m a
(2)... s = a t^2 /2
(3)... v = a t

From (1), doubling the force will double the acceleration (for the same mass).

From (2), doubling the acceleration while keeping the distance unchanged requires dividing time taken by the square root of 2.

From (3), doubling the acceleration and dividing time by the square root of 2, does ... what to the velocity?