The velocity of a particle which moves along the s-axis is given by v = 17 + 2t7/6 where t is in seconds and v is in meters per second. Evaluate the displacement s, velocity v, and acceleration a when t = 5.1 s. The particle is at the origin s = 0 when t = 0.

At time t = 0, a particle is at rest in the x-y plane at the coordinates (x0, y0) = (3, 0) in. If the particle is then subjected to the acceleration components ax = 0.55 − 0.29t 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.

At time t = 12 s, the velocity of a particle moving in the x-y plane is v=0.08i + 2.28j m/s. By time t = 12.12 s, its velocity has become -0.08i + 2.14j m/s. Determine the magnitude day of its average acceleration during this interval and the angle 0 made by the average acceleration with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. Answers: dav 0= Mi i m/s² O

2/3 The velocity of a particle which moves along the s-axis is given by v = 2 + 5t32, where t is in seconds and v is in meters per second. Evaluate the displacement s, velocity v, and acceleration a when t = 4 s. The parti- cle is at the origin s = 0 when t = 0. 214 The velocity of a particle along the s-axis is given by

A particle moving in the x-y plane has a velocity at time t = 5.25 s given by (3.9i+ 6.0j) m/s, and at t = 5.34s its velocity has become (4.05i + 6.13j) m/s. Calculate the magnitude a of its average acceleration during the 0.09-s interval and the angle it makes with the x- axis. Answers: a= m/s² 0= 2.205 i 139.1