A sailboat is traveling to the right when a gust of wind causes the boat to accelerate leftward at 2.5\,\dfrac{\text m}{\text s^2}2.5
s
2

m

2, point, 5, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction for 4\,\text s4s4, start text, s, end text. After the wind stops, the sailboat is traveling to the left with a velocity of 3.0\,\dfrac{\text m}{\text s}3.0
s
m

3, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction.

An alpha particle with kinetic energy 12.5 mev makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude l = p0 b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.40×10−12 m. (assume that the lead nucleus remains stationary and that it may be treated as a point charge. the atomic number of lead is 82. the alpha particle is a helium nucleus, with atomic number 2.) what is the distance of closest approach?