You have access to an expressway to apply for a job in another city, 300 km away. an interview was scheduled for 11:15 am. you plan to drive at 100km / h and leave at 8:00 am for some time to spare. you drive at the planned speed for the first 100km, after a stretch of the road is under construction and requires you to reduce your speed to 40km / h for 40km. What is the slowest speed you must maintain for the rest of the trip to get time for an interview?

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.