8. A dart of mass m is accel ted horizontally through a tube of length L situated a height h above the ground by a constant force F. Upon exiting the tube, the dart travels a horizontal distance Ax before striking the ground, as depicted in the diagram below. L h ΔΧ (a) Develop an expression for the velocity of the dart, v, as it leaves the tube in terms of Ax, h, and any fundamental constants.

A jet plane travels towards a ground-based radar dish. Radar locates the jet plane at a distance D = 11 km from the dish, at an angle θ = 46° above horizontal. 1.) What is the jet plane’s horizontal distance, DH in meters, from the radar dish? 2.)What is the jet plane's vertical distance, DV in meters, above the radar dish? 3.)Write an expression for the distance vector, D, in rectangular form in terms of D and θ, in a coordinate system with the dish at the origin and the unit vectors i and j in the horizontal and vertical directions. (to the right and up)

Choose one equation (and only one) from the equation sheet that would let you solve the problem posed. Then define which variables in the equation go with what numbers from the problem itself (not from other problems), and define which variable is being solved for. Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable. 1) A single mole of Carbon Dioxide has a mass of 44 g, and at 1.00 atm of pressure and 20oC (293K) it occupies 22.4 liters. At what speed will you find the peak of its speed distribution function?