A small balloon is released at a point 60 feet away from an observer, who is on level ground. If the balloon goes straight up at a rate of 10 feet per second, how fast (in feet per second) is the distance from the observer to the balloon increasing when the balloon is 80 feet high? 10 a
1. Lemonade is dripping from a conical filter with lemons in it, into a cylindrical pot at the rate of 12 in3 /min. How fast is the lemonade level in the cylindrical pot rising when the lemonade in the cone is 6in high? How fast is the height/level of the lemonade in the cone falling at that time? 2. A bird watcher is sitting in a stand that is 30ft. high and 15ft. to the left of a pole with...
SerPSE10 1 A OP031 MI My A high fountain of water is located at the center of a circular pool as shown in the figure stands at the edge of the pool and uses a protractor to gauge the angle of elevation of the top of the fountain to be below. A student walks around the pool and measures its circumference to be 25.2 m. Next, the student 50.0° How high is the fountain? 10 1 A OP035 My Water...
travelling south at a rate of 20 miles/hr while B is travelling east at 30 mi/hr. How fast is the distance between them changing 1 hour later a. 2 miles /hour b. 4 miles/hour c. 5 miles/hour d. 6 miles/hour 16. The depth of the water in a cylind rical tank 4 m in diameter is increasing at the rate of 0.7 m/min. Find the rate at which the water flowing into the tank a. 5.8 cubic meter per minute...
Please try to answer all questions and show work. Thank you. 1. A baseball player is warming up and tosses a ball straight up into the air. The ball travels up until it reaches some maximum height, and then falls back down to the player's hand. If we neglect air resistance, then the magnitude of the acceleration of the ball is? A. largest the moment after it leaves the players hand. B. smallgst the moment after it leaves the player's...
1. A firework (small rocket) whose shell has a mass of m 12kg was initially on the ground before being launched to a height of 100m above the ground at which point its horizontal displacement from its starting position is 17.6m. At this location its speed is 68m/s and it's at an angle relative to (and above) the horizontal of 80 as depicted in the diagram below. Once it reaches this height it goes off and its shell splits into...
#3 3. A gun tackle consits of a light rope and two ideal pulleys. One end of the rope is attached to the ceiling and wrapped around both pulleys, as depicted, while the other end is fastned to mass A. Mass B hangs off the pulley that is free to move. The second pulley is attached to the ceiling. Initially the blocks, which have the same mass, are suspended at the same distance from the ceiling and are subsequently released...
Need just the results. Thank you! rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.) 290253 cm3/min Need Help? Resd Watch iTalk to a Tutor Submit Answer Save Progress Practice Another Version o 01 points | Previous Answers SCalcET8 3 9...
1. An airplane if flying horizontally at a constant height of 6 km above a fixed observation point. At a certain moment the angle of elevation θ is 30° and decreasing and the speed of the plane is 4 km/h. (a) How fast is 0 decreasing at this moment? (b) How fast is the distance between the plane and the observation point is changing at this moment? 2. Trajectory of a particle is described by parametrical equations as t,y P,...
2. Artificial gravity is necessary for humans to stay healthy during extended stays in space. To provide artificial gravity, a space station is shaped like a cylinder with a diameter of 2200 m, and it rotates about its center at a constant rate. The astronauts live inside the cylinder at the outer edge, and feel a gravitational pull outwards. (a) How long should one revolution of the space station take if the acceleration of an astronaut on the outer edge...