A dart leaves the barrel of a blowgun at a speed v. The length of the blowgun barrel is L. Assume that the acceleration of the dart in the barrel is uniform.

Question

If the darts exit speed is 17 m/s and the length of the blowgun is 1.10 m, find the time the dart is in the barrel.

Answer 1

v(t) = at
s(t) = 1/2 at^2

at = 17, so a = 17/t
1/2 (17/t)t^2 = 1.1, so
t = 0.129