O H.W4: A large red balloon is rising at the rate of 20 ft/sec. The balloon is 10 ft above the ground at the point in time that the back end of a green car is directly below the bottom of the balloon. The car is traveling at 40 ft/sec. What is the rate of change of the distance between the bottom of the balloon and the point on the ground directly below the back of the car one second after the back of the car is directly below the balloon?

An aireraft flies at a constant height along a straight path of 8 km above the ground. The angle of elevation from a fixed point on the ground to the aireraft is marked as x radians, which varies with time. The horizontal distance along the ground of the aircraft from the fixed point is marked as y km. The aircraft is flying at a constant speed of 500 km/h. Find the rate of change of x, in radian per hour, when x is radians ? 8 km

A jet is approaching a radar station with a speed of 1,256 mph and a stable altitude of 9504ft. When the radar registers a distance of 2.68 miles to the plane, what is the rate of change (in mph) of the distance from the radar station to the jet? (Round to 1 decimal place)

An observer stands 20 m from the bottom of a Ferris wheel on a line A rad/min that is perpendicular to the face of the wheel, with her eyes at the level of the bottom of the wheel. The wheel revolves at a rate of z rad/min and the observer's line of sight with a specific seat on the Ferris wheel makes an angle 0 with the horizontal (see figure). At what time during a full revolution is 0 changing most rapidly? 20 m Choose the correct answer below. O A. The angle 0 is changing most rapidly when the seat is at its rightmost point. O B. The angle 0 is changing most rapidly when the seat is at its leftmost point. OC. The angle 0 is changing most rapidly when the seat is at its highest point. D. The angle 0 is changing most rapidly when the seat is at its lowest point.