On an icy day, a police officer was using his radar gun to catch speeding cars when he witnessed a rear-end collision. The officer drew a diagram of the accident in his police report and a reproduction of it is shown below. In the diagram, each car is represented by a box with the appropriate letter labeled and Car C represents the police officer. There is also some data that has been collected by a team of lawyers hired by the driver of car A. The driver of car A claims that he was not speeding at the time of the collision. Based on the evidence, write a scientific explanation that determines whether or not Car A was speeding when it collided with Car B.

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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.

If you visited mount shasta city (elevation 900 m [3000 ft.]) and found the outside air temperature to be 27°c (81°f), what would be the air temperature at the summit of mount shasta (elevation 4200 m [14,000 ft.]) at that moment-assuming that the temperature conditions with altitude change at an average, or normal, lapse rate?