A caterpillar's speed decreases from 0.45cm/s to 0.20cm/s at a rate of -0.05cm/s2 as it climbs a leaf. How quickly does the caterpillar undergo metamorphosis?
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- While moving from her third-storey apartment, a university student decides to lower her couch through her window using ropes. During the process, the ropes snap and the couch, which is 12.0 m above the ground, falls to the ground below. Her friends, who are both 1.50 m tall, notice the accident when the couch is directly above them. Determine the time they have to get out of the way.As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tank recently purchased by the artillery. Field testing has revealed the following information: 1) The tank moves from rest to a speed of 70 km/hr in 10 seconds. 2) Using the breaking system, the tank is brought to a complete stop from a speed of 70 km/hr in 5 seconds. You are required to address all the questions below providing all calculations, graphs, and explanations as appropriate to back your answers. First: Motion of the tank: a) Find the average driving acceleration of the tank. b) Calculate the average breaking acceleration of the tank. c) For parts (a) and b above parts report your answers in US Customary Units (mile/hr) so that the information could be shared with experts from the US.Your cat, George, is wandering around the house, and intentionally bats at an expensive vase, making it drop off of a high shelf. After 7.56 s, its speed is: (Record the positive value of the speed here, in m/s) Your Answer: Answer
- Arthur and Betty start walking towards each other when they are 100 m apart. Arthur walks with a speed of 3.2 m/s and Betty with a speed of 3.1 m/s. How long does it take to meet? Write the answer using 3 significant figuresWhen the human body is at rest, the heart pumps 4.6 L of blood into the aorta every minute. During some exceptional exertion, such as playing sports, the amount of blood delivered to the aorta increases to 25 L every minute. If the area of the opening of the aorta is A = 0.81 cm2 What is the average velocity of blood as it enters the aorta in each of these cases?You are playing Hot Rod toy cars with your nephew and niece. Your nephew wanted to show off how fast he could launch a Hot Rod off the dining table 1.00 m above the floor by thrusting the car forward very fast but was no match against your niece who compensated slight lack of speed by pushing the car straight forward reaching a speed of 4.5 m/s at the edge of the table top when she let go of it. What was the magnitude of the final speed when it hit the floor?
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- High-speed motion pictures (3500 frames/second) of a jumping 230 μg flea yielded the data to plot the flea's acceleration as a function of time as shown in the figure ( Figure 1). (See "The Flying Leap of the Flea," by M. Rothschild et al. in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the measurements shown on the graph to answer the questions. Figure alg 150 100 50 0 0 0.5 1.0 1.5 Part E Use the graph to find the flea's maximum speed. Express your answer in meters per second to two significant figures. IVE] ΑΣΦ 3 v=1.6 Submit Previous Answers Request Answer ? X Incorrect; Try Again; 2 attempts remaining m/sA juggler throws a bowling pin straight up with an initial speed of 7.4 m/s from an initial height of 3 m. How much time elapses until the bowling pin returns to the same initial height? (Do not round off the final answer)A hippopotamus can run up to 9.86 m/s. Suppose a hippopotamus uniformly accelerates 0.28 m/s² until it reaches a top speed of 9.86 m/s. If the hippopotamus has run 25.1 m, what is its initial speed in m/s? (round your answer to two decimal places; DO NOT include units)