A mass of 4 kilograms stretches a spring 1.6 meter. The medium through which the mass moves offers a damping force numerically equal to 20 times the instantaneous velocity. The mass is initially released from a point 0.75 meter below the equilibrium position with an upward velocity of 5 m/s. Let the acceleration due to gravity be

Find the vertex(use the completing the square method), findthe x- and y-intercepts, and sketch the graph offunction. y = 2x2 + 4x - 1

Aviolently rotating column of air is formed around a region of extremely low air pressure above land. which of these weather conditions is most likely to follow? blizzard cyclone tornado hurricane

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?