Problem 1. Car A is traveling along the straightaway with speed v, and this speed is decreasing at a rate a. Car C is moving along the circular off-ramp with speed v/2, and this speed is decreasing at a rate a/2. Determine the velocity and acceleration which car A appears to have to an observer fixed to car C. Use the values v 60 mi/hr, a = 10 ft/s², and R = 200 ft, and utilize the x'-y' coordinates shown in the figure.

The x- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval, the motions are governed by x = 12 +0.55t² and y = 16-0.57t³, where x and y are in millimeters and tis in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 2.5 s. Sketch the direction of the path and indicate its curvature for this instant. B P Part 1 Calculate the x- and y-components of the velocity. Answers: Vx= mm/s Vy= mm/s i

At the instant shown, object A's speed is VA = 5.9 m/s, and it is increasing at 0.5 m/s²; object B's speed vg = 1.0 m/s, and it is decreasing at 1.3 m/s². Determine the magnitude of the relative velocity of A with respect to B. Object Bis travelling along a circular path with radius of r = 12 m. The distance between A and B is d = 3.0 m, the angle is = 25°. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point and proper unit. 0 VA d Your Answer: Answer VB units

A train which is traveling at 75 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 55 mi/hr as it passes a point 1/2 mi beyond A. A car moving at 50 mi/hr passes point B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas." Calculate the constant acceleration a that the car must have in order to beat the train to the crossing by 3.3 sec and find the velocity v of the car as it reaches the crossing. Tw Answers: a = i V = i Train 75 mi/hr 1.0 mi 1.1 mil B Car 50 mi/hr ft/sec² mi/hr