Coming to the bottom of a mountain, a skier moving with speed v collides with a barrier and is brought to a stop in an amount of time t. over the course of the impact, the skier experienced an average net force f from the barrier. if the skier\'s initial velocity had been the same (v), but the time of impact to come to a full stop had been four times as long (4t), what would have been the average net force exerted on the skier during the collision? the average net force would have ) f/4b)fc)4fd) f/2e)2fif the time of impact to come to a full stop had been the same (t), but the skier\'s initial velocity had been half as much (v / 2), what would have been the average net force exerted on the skier during the collision? the average net force would have ) 4fb)fc)2fd) f/4e)f/2

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.