An object like a bungee jumper can be projected upward at a specified velocity. if it is subject to linear drag, its altitude as a function of time can be computed as z=z0+mc(v0+mgc)(1−e−(c/m)t)−mgct where g = 9.81 m/s2, z0 = 100 m, v0 = 55 m/s, m = 80 kg, and c = 8 kg/s. determine the time and magnitude of the peak elevation using the m-file. (round the final answers to four decimal places.)

A0.580-kg rock is tied to the end of a string and is swung in a circle with a radius of 0.500 meters. the velocity of the rock is 4.50 m/s. what is the centripetal force acting on the rock? 15.5 n 5.22 n 69.8 n 23.5 n

By examining a wave’s pattern after it interacts with a barrier or gap, measurements can be made to better understand certain wave phenomena. what is a broad question you can answer by doing this experiment?

Aspring has a relaxed length of 33 cm (0.33 m) and its spring stiffness is 6 n/m. you glue a 76 gram block (0.076 kg) to the top of the spring, and push the block down, compressing the spring so its total length is 15 cm. you make sure the block is at rest, then at time t=0 you quickly move your hand away. the block begins to move upward, because the upward force on the block by the spring is greater than the downward force on the block by the earth. calculate y vs. time for the block during a 0.09-second interval after you release the block, by applying the momentum principle in three steps each of 0.03-second duration.