I have the answers. I need help with understanding the steps to get to the solution. Thank you.
1. a ) 0.0900 s^-2 . ( b ) +/- 16.97 mm/s.
2. -66.0 m, 149.0 m/s, 228 m/s^ 2 .
3. ( a ) 3.00 ft/s^ 4 . b ) v = ( t^2- 32) ft/s, x = ( t^4 /4- 32t + 64) ft
4. ( a ) 25.0 m/s. (b ) 19.00 m/s. (c) 36.8 m.
A particle oscillates between the points x = 40 mm and x = 160 mm with an acceleration a = k( 100 - x), where a and x are expressed in mm/ s^2 and mm, respectively, and k is a constant. The velocity of the particle is 18 mm/ s when x = 100 mm and is zero at both x = 40 mm and x = 160 mm. Determine (a) the value of k,( b) the velocity when x = 120 mm.

2. The motion of a particle is defined by the relation x = 1.5t^4 - 30t2 + 5t + 10, where x and t are expressed in meters and seconds, respectively. Determine the position, the velocity, and the acceleration of the particle when t = 4 s.

3. The acceleration of a particle is defined by the relation a = kt^2. (a) Knowing that v =-32 ft/ s when t = 0 and that v =-32 ft/ s when t = 4 s, determine the constant k. ( b) Write the equations of motion, knowing also that x = 0 when t = 4 s.

4. A truck travels 220 m in 10 s while being decelerated at a constant rate of 0.6 m/ s^2. Determine (a) its initial velocity, ( b) its final velocity, ( c) the distance traveled during the first 1.5 s.

... The problem is solved step by step highlighting the underlying principles involved. ... Applying the kinematics equation ω2 (ω0)2 = 2αθ we get : ...

Kinematics Question: 4.0 kg toboggan rests on a frictionless icy surface: Acceleration. ... We solve a problem in classical mechanics involving the dynamics of a ...

... ZTR was a root mean square error of 5 ... FIGURE 7Overhead view of hypothetical mechanics of the ... LUHTANEN, P. Kinematics and kinetics of maximal instep kicking ...

... help with the following problem regarding classical mechanics. ...Problem: How far does an object travel and what ... Use one of the equations from linear kinematics. ...

... lasting, or to motion as kinematic rather than ... intuition or of classical Newtonian mechanics (Whorf, 1962b ... address the deeper educational problems NESB students ...

... ZTR was a root mean square error of 5 ... FIGURE 7Overhead view of hypothetical mechanics of the ... LUHTANEN, P. Kinematics and kinetics of maximal instep kicking ...

... by "F=m*a", this is a transient problem. ... of your fluids: rho = density nu = kinematic viscosity alpha ... This solution explores the fluid mechanics of interactive ...