Lwriting in science
4. assess a driver followed a van with a
surfboard strapped on top. the driver claims
that the van stopped so quickly that the
surfboard flew backward, hitting his car and
causing damage. he wants the driver of the
van to pay for damage to his vehicle and
medical costs. you are the judge in the case.
use newton's laws of motion to write a
judgment in the case. write your response in
your science journal lafs.6.sl.1.3, sc.6.p.13.3

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.