If the sports car in problem number 1 is approaching the exit tollgate with a velocity of 100 m/s and decelerates at 5 m/ss to a full stop, find the displacement of the car.

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 Part 1 A 0000 Correct Calculate the x- and y-components of the velocity. Answers: Vx mm/s Vy- mm/s 2.75 -10.6785

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Q4. The motion of a car in the first 20 s of its travel is as shown. V (m/s) a. Construct the s-t graph b. What is the distance traveled in the first 10 s? V=20-0.8t Assume that s=0 when t=0 T (s) 0 20

A bus driver heads south with a steady speed of v₁ = 22.0 m/s for t₁ = 3.00 min, then makes a right turn and travels at v₂ = 25.0 m/s for t₂ = 2.60 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.60-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude. direction For each straight-line movement, model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to si m x distance/time to find the Model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances…

Y = 6 m/s 40° funt JMK = 0.35 = TBD block: m= 5 kg Spring: k = 100 N/m Value L = won't be needed A black is positioned. on a 40° slope as shown, and a spring is attached to it as shown. The spring is relaxed (unstretched) in the position shown. The block is given an initial velocity V₁ = 6 m/s downslope. Find the distance "d" that the block will slide before it comes to a stop. Use the Principle of Work and Energy.

At time t = 0, a particle is at rest in the x-y plane at the coordinates (xo, Yo) = (9, 0) in. If the particle is then subjected to the acceleration components ax = 0.64 - 0.33t in. /sec² and ay = 0.15t - 0.03t² in. /sec², determine the coordinates of the particle position when t = 6 sec. You might consider plotting the path of the particle during this time period. Answer: (x, y) = (i " )in.

A Particles M and N slide along rods AB and CD as shown in the figure. At the very instant shown, particle M is moving at a speed of 4 m/s at the indicated direction while particle N is moving at 2 m/s with the shown direction. Determine the following: a. The velocity vectors of particle M and N b. The relative velocities of each particle with respect to the other. (Show the vector diagrams) Z .3 m .4 m D VM .5 m X .3 m C VN .4 m .3 m .2 m B y

Based on the figure, find the magnitude and direction of acceleration of block B if the system is initially at rest and acceleration occurs within a time interval of 2 s.

A car moves along a straight line whose equation of motion is given by V =4t-3t+1 where (V) is in meter per second and (1 is in seconds. After 3 seconds from the start the linear displacement was 27m. When t = 7 seconds, determine the linear displacement, linear velocity and linear acceleration of the car.