Chapter 3.5, Problem 44E

solve both part

A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's velocity? 29.4(1 – e3) m/sec 29.4(e- 1) m/sec 29.4(1 – e5) m/sec 32.2 (e- 1) m/sec

A mass weighting 64 lbs stretches a spring 3 inches. The mass is in a medium that exerts a damping force of 252 lbs when the mass has a speed of 6 ft/sec. Suppose the object is displaced an additional 7 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =

HW3 t sinht sint dt)

Pls help ASAP

Part E: Vectors MindBook decides to diversify their portfolio and invest in the "RoboMap" technology which is a robot that maps different types of territories. The new CEO is trying to make some drastic changes to some of the software and hardware systems in the new version of the robot. You have been hired by the opposing faction in the board to lead an investigation on how the performance of the robot is affected by the new proposed changes. a) The first system that you will test is the navigation system. The robot maps the territory by calculating distances and angles whilst moving between various locations. It then stores on its system the shortest direct path from initial location to the intended target. During the test the robot navigates around a muddy surface in the following path: 55cm [NW] and then moves 45cm [S30°W]. The robot sends back to the server the following overall shortest path: 70cm [W10°S]. Use triangle or parallelogram method to verify the precision of the…

A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's law of cooling so that its temperature at time t is given by T=65 +145e-0.05t tis measured in minutes and T is in °F. What is the initial temperature of the soup? where

Please explain how to solve.

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